SAT Exam  >  SAT Questions  >  Question refer to the following information.S... Start Learning for Free
Question refer to the following information.
S(P) = 1/2 P + 40
D(P) = 220 - P
The quantity of a product supplied and the quantity of the product demanded in an economic market are functions of the price of the product. The functions above are the estimated supply and demand functions for a certain product. The function S(P) gives the quantity of the product supplied to the market when the price is P dollars, and the function D(P) gives the quantity of the product demanded by the market when the price is P dollars.
Q. How will the quantity of the product supplied to the market change if the price of the product is increased by $10 ?
  • a)
    The quantity supplied will decrease by 5 units.
  • b)
    The quantity supplied will increase by 5 units.
  • c)
    The quantity supplied will increase by 10 units.
  • d)
    The quantity supplied will increase by 50 units.
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Question refer to the following information.S(P) = 1/2 P + 40D(P) = 22...
Choice B is correct. The quantity of the product supplied to the market is given by the function S(P) = 1/2 P + 40. If the price P of the product increases by $10, the effect on the quantity of the product supplied can be determined by substituting P + 10 for P as the argument in the function. This gives S(P + 10) = 1/2(P + 10) + 40 = 1/2P + 45, which shows that S(P + 10) = S(P) + 5.
Therefore, the quantity supplied to the market will increase by 5 units when the price of the product is increased by $10.
Alternatively, look at the coefficient of P in the linear function S. This is the slope of the graph of the function, where P is on the horizontal axis and S(P) is on the vertical axis. Since the slope is 1/2, for every increase of 1 in P, there will be an increase of 1/2 in S(P), and therefore, an increase of 10 in P will yield an increase of 5 in S(P).
Choice A is incorrect. If the quantity supplied decreases as the price of the product increases, the function S(P) would be decreasing, but S(P) = 1/2P + 40 is an increasing function. Choice C is incorrect and may be the result of assuming the slope of the graph of S(P) is equal to 1. Choice D is incorrect and may be the result of confusing the y-intercept of the graph of S(P) with the slope, and then adding 10 to the y-intercept.
View all questions of this test
Most Upvoted Answer
Question refer to the following information.S(P) = 1/2 P + 40D(P) = 22...
Explanation:
To find out how the quantity of the product supplied will change if the price is increased by $10, we need to determine the new quantity supplied after the price increase.

The supply function is given by S(P) = 1/2P. This means that the quantity supplied (S) is equal to half of the price (P).

Let's consider the initial price of the product as P1. The quantity supplied at this price can be calculated using the supply function: S(P1) = 1/2P1.

Now, if the price is increased by $10, the new price becomes P1 + $10. We can calculate the new quantity supplied using the supply function: S(P1 + $10) = 1/2(P1 + $10).

To determine the change in quantity supplied, we need to find the difference between the new quantity supplied and the initial quantity supplied:

Change in quantity supplied = S(P1 + $10) - S(P1)

Now, substitute the supply function values:

Change in quantity supplied = 1/2(P1 + $10) - 1/2P1

To simplify the expression, we can distribute the 1/2 factor:

Change in quantity supplied = 1/2P1 + 1/2($10) - 1/2P1

The P1 terms cancel out, and we are left with:

Change in quantity supplied = 1/2($10)

Simplifying further:

Change in quantity supplied = $5

Therefore, the quantity supplied will increase by 5 units if the price of the product is increased by $10.

Hence, the correct answer is option B - The quantity supplied will increase by 5 units.
Free Test
Community Answer
Question refer to the following information.S(P) = 1/2 P + 40D(P) = 22...
Choice B is correct. The quantity of the product supplied to the market is given by the function S(P) = 1/2 P + 40. If the price P of the product increases by $10, the effect on the quantity of the product supplied can be determined by substituting P + 10 for P as the argument in the function. This gives S(P + 10) = 1/2(P + 10) + 40 = 1/2P + 45, which shows that S(P + 10) = S(P) + 5.
Therefore, the quantity supplied to the market will increase by 5 units when the price of the product is increased by $10.
Alternatively, look at the coefficient of P in the linear function S. This is the slope of the graph of the function, where P is on the horizontal axis and S(P) is on the vertical axis. Since the slope is 1/2, for every increase of 1 in P, there will be an increase of 1/2 in S(P), and therefore, an increase of 10 in P will yield an increase of 5 in S(P).
Choice A is incorrect. If the quantity supplied decreases as the price of the product increases, the function S(P) would be decreasing, but S(P) = 1/2P + 40 is an increasing function. Choice C is incorrect and may be the result of assuming the slope of the graph of S(P) is equal to 1. Choice D is incorrect and may be the result of confusing the y-intercept of the graph of S(P) with the slope, and then adding 10 to the y-intercept.
Explore Courses for SAT exam
Question refer to the following information.S(P) = 1/2 P + 40D(P) = 220 - PThe quantity of a product supplied and the quantity of the product demanded in an economic market are functions of the price of the product. The functions above are the estimated supply and demand functions for a certain product. The function S(P) gives the quantity of the product supplied to the market when the price is P dollars, and the function D(P) gives the quantity of the product demanded by the market when the price is P dollars.Q. How will the quantity of the product supplied to the market change if the price of the product is increased by $10 ?a)The quantity supplied will decrease by 5 units.b)The quantity supplied will increase by 5 units.c)The quantity supplied will increase by 10 units.d)The quantity supplied will increase by 50 units.Correct answer is option 'B'. Can you explain this answer?
Question Description
Question refer to the following information.S(P) = 1/2 P + 40D(P) = 220 - PThe quantity of a product supplied and the quantity of the product demanded in an economic market are functions of the price of the product. The functions above are the estimated supply and demand functions for a certain product. The function S(P) gives the quantity of the product supplied to the market when the price is P dollars, and the function D(P) gives the quantity of the product demanded by the market when the price is P dollars.Q. How will the quantity of the product supplied to the market change if the price of the product is increased by $10 ?a)The quantity supplied will decrease by 5 units.b)The quantity supplied will increase by 5 units.c)The quantity supplied will increase by 10 units.d)The quantity supplied will increase by 50 units.Correct answer is option 'B'. Can you explain this answer? for SAT 2025 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about Question refer to the following information.S(P) = 1/2 P + 40D(P) = 220 - PThe quantity of a product supplied and the quantity of the product demanded in an economic market are functions of the price of the product. The functions above are the estimated supply and demand functions for a certain product. The function S(P) gives the quantity of the product supplied to the market when the price is P dollars, and the function D(P) gives the quantity of the product demanded by the market when the price is P dollars.Q. How will the quantity of the product supplied to the market change if the price of the product is increased by $10 ?a)The quantity supplied will decrease by 5 units.b)The quantity supplied will increase by 5 units.c)The quantity supplied will increase by 10 units.d)The quantity supplied will increase by 50 units.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Question refer to the following information.S(P) = 1/2 P + 40D(P) = 220 - PThe quantity of a product supplied and the quantity of the product demanded in an economic market are functions of the price of the product. The functions above are the estimated supply and demand functions for a certain product. The function S(P) gives the quantity of the product supplied to the market when the price is P dollars, and the function D(P) gives the quantity of the product demanded by the market when the price is P dollars.Q. How will the quantity of the product supplied to the market change if the price of the product is increased by $10 ?a)The quantity supplied will decrease by 5 units.b)The quantity supplied will increase by 5 units.c)The quantity supplied will increase by 10 units.d)The quantity supplied will increase by 50 units.Correct answer is option 'B'. Can you explain this answer?.
Solutions for Question refer to the following information.S(P) = 1/2 P + 40D(P) = 220 - PThe quantity of a product supplied and the quantity of the product demanded in an economic market are functions of the price of the product. The functions above are the estimated supply and demand functions for a certain product. The function S(P) gives the quantity of the product supplied to the market when the price is P dollars, and the function D(P) gives the quantity of the product demanded by the market when the price is P dollars.Q. How will the quantity of the product supplied to the market change if the price of the product is increased by $10 ?a)The quantity supplied will decrease by 5 units.b)The quantity supplied will increase by 5 units.c)The quantity supplied will increase by 10 units.d)The quantity supplied will increase by 50 units.Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for SAT. Download more important topics, notes, lectures and mock test series for SAT Exam by signing up for free.
Here you can find the meaning of Question refer to the following information.S(P) = 1/2 P + 40D(P) = 220 - PThe quantity of a product supplied and the quantity of the product demanded in an economic market are functions of the price of the product. The functions above are the estimated supply and demand functions for a certain product. The function S(P) gives the quantity of the product supplied to the market when the price is P dollars, and the function D(P) gives the quantity of the product demanded by the market when the price is P dollars.Q. How will the quantity of the product supplied to the market change if the price of the product is increased by $10 ?a)The quantity supplied will decrease by 5 units.b)The quantity supplied will increase by 5 units.c)The quantity supplied will increase by 10 units.d)The quantity supplied will increase by 50 units.Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Question refer to the following information.S(P) = 1/2 P + 40D(P) = 220 - PThe quantity of a product supplied and the quantity of the product demanded in an economic market are functions of the price of the product. The functions above are the estimated supply and demand functions for a certain product. The function S(P) gives the quantity of the product supplied to the market when the price is P dollars, and the function D(P) gives the quantity of the product demanded by the market when the price is P dollars.Q. How will the quantity of the product supplied to the market change if the price of the product is increased by $10 ?a)The quantity supplied will decrease by 5 units.b)The quantity supplied will increase by 5 units.c)The quantity supplied will increase by 10 units.d)The quantity supplied will increase by 50 units.Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Question refer to the following information.S(P) = 1/2 P + 40D(P) = 220 - PThe quantity of a product supplied and the quantity of the product demanded in an economic market are functions of the price of the product. The functions above are the estimated supply and demand functions for a certain product. The function S(P) gives the quantity of the product supplied to the market when the price is P dollars, and the function D(P) gives the quantity of the product demanded by the market when the price is P dollars.Q. How will the quantity of the product supplied to the market change if the price of the product is increased by $10 ?a)The quantity supplied will decrease by 5 units.b)The quantity supplied will increase by 5 units.c)The quantity supplied will increase by 10 units.d)The quantity supplied will increase by 50 units.Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Question refer to the following information.S(P) = 1/2 P + 40D(P) = 220 - PThe quantity of a product supplied and the quantity of the product demanded in an economic market are functions of the price of the product. The functions above are the estimated supply and demand functions for a certain product. The function S(P) gives the quantity of the product supplied to the market when the price is P dollars, and the function D(P) gives the quantity of the product demanded by the market when the price is P dollars.Q. How will the quantity of the product supplied to the market change if the price of the product is increased by $10 ?a)The quantity supplied will decrease by 5 units.b)The quantity supplied will increase by 5 units.c)The quantity supplied will increase by 10 units.d)The quantity supplied will increase by 50 units.Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Question refer to the following information.S(P) = 1/2 P + 40D(P) = 220 - PThe quantity of a product supplied and the quantity of the product demanded in an economic market are functions of the price of the product. The functions above are the estimated supply and demand functions for a certain product. The function S(P) gives the quantity of the product supplied to the market when the price is P dollars, and the function D(P) gives the quantity of the product demanded by the market when the price is P dollars.Q. How will the quantity of the product supplied to the market change if the price of the product is increased by $10 ?a)The quantity supplied will decrease by 5 units.b)The quantity supplied will increase by 5 units.c)The quantity supplied will increase by 10 units.d)The quantity supplied will increase by 50 units.Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice SAT tests.
Explore Courses for SAT exam

Top Courses for SAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev