SAT Exam  >  SAT Questions  >  Question refer to the following information.T... Start Learning for Free
Question refer to the following information.

The Townsend Realty Group invested in the five different properties listed in the table above. The table shows the amount, in dollars, the company paid for each property and the corresponding monthly rental price, in dollars, the company charges for the property at each of the five locations.
The relationship between the monthly rental price r, in dollars, and the property’s purchase price p, in thousands of dollars, can be represented by a linear function. Which of the following functions represents the relationship?
  • a)
    r(p) = 2.5p − 870
  • b)
    r(p) = 5p + 165
  • c)
    r(p) = 6.5p + 440
  • d)
    r(p) =7.5p − 10
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Question refer to the following information.The Townsend Realty Group ...
The linear function that represents the relationship will be in the form r(p) = ap + b, where a and b are constants and r(p) is the monthly rental price, in dollars, of a property that was purchased with p thousands of dollars. According to the table, (70, 515) and (450, 3,365) are ordered pairs that should satisfy the function, which leads to the system of equations below. 

Subtracting side by side the first equation from the second eliminates b and gives 380a = 2,850; solving for a gives a = 2,850/380 = 7.5. Substituting 7.5 for a in the first equation of the system gives 525 + b = 515; solving for b gives b = −10. Therefore, the linear function that represents the relationship is r(p) = 7.5p − 10.
Choices A, B, and C are incorrect because the coefficient of p, or the rate at which the rental price, in dollars, increases for every thousand-dollar increase of the purchase price is different from what is suggested by these choices. For example, the Glenview Street property was purchased for $140,000, but the rental price that each of the functions in these choices provides is significantly off from the rental price given in the table, $1,040. 
View all questions of this test
Most Upvoted Answer
Question refer to the following information.The Townsend Realty Group ...
The linear function that represents the relationship will be in the form r(p) = ap + b, where a and b are constants and r(p) is the monthly rental price, in dollars, of a property that was purchased with p thousands of dollars. According to the table, (70, 515) and (450, 3,365) are ordered pairs that should satisfy the function, which leads to the system of equations below. 

Subtracting side by side the first equation from the second eliminates b and gives 380a = 2,850; solving for a gives a = 2,850/380 = 7.5. Substituting 7.5 for a in the first equation of the system gives 525 + b = 515; solving for b gives b = −10. Therefore, the linear function that represents the relationship is r(p) = 7.5p − 10.
Choices A, B, and C are incorrect because the coefficient of p, or the rate at which the rental price, in dollars, increases for every thousand-dollar increase of the purchase price is different from what is suggested by these choices. For example, the Glenview Street property was purchased for $140,000, but the rental price that each of the functions in these choices provides is significantly off from the rental price given in the table, $1,040. 
Explore Courses for SAT exam

Similar SAT Doubts

Question refer to the following information.The Townsend Realty Group invested in the five different properties listed in the table above. The table shows the amount, in dollars, the company paid for each property and the corresponding monthly rental price, in dollars, the company charges for the property at each of the five locations.The relationship between the monthly rental price r, in dollars, and the property’s purchase price p, in thousands of dollars, can be represented by a linear function. Which of the following functions represents the relationship?a)r(p) = 2.5p − 870b)r(p) = 5p + 165c)r(p) = 6.5p + 440d)r(p) =7.5p − 10Correct answer is option 'D'. Can you explain this answer?
Question Description
Question refer to the following information.The Townsend Realty Group invested in the five different properties listed in the table above. The table shows the amount, in dollars, the company paid for each property and the corresponding monthly rental price, in dollars, the company charges for the property at each of the five locations.The relationship between the monthly rental price r, in dollars, and the property’s purchase price p, in thousands of dollars, can be represented by a linear function. Which of the following functions represents the relationship?a)r(p) = 2.5p − 870b)r(p) = 5p + 165c)r(p) = 6.5p + 440d)r(p) =7.5p − 10Correct answer is option 'D'. 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.The Townsend Realty Group invested in the five different properties listed in the table above. The table shows the amount, in dollars, the company paid for each property and the corresponding monthly rental price, in dollars, the company charges for the property at each of the five locations.The relationship between the monthly rental price r, in dollars, and the property’s purchase price p, in thousands of dollars, can be represented by a linear function. Which of the following functions represents the relationship?a)r(p) = 2.5p − 870b)r(p) = 5p + 165c)r(p) = 6.5p + 440d)r(p) =7.5p − 10Correct answer is option 'D'. 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.The Townsend Realty Group invested in the five different properties listed in the table above. The table shows the amount, in dollars, the company paid for each property and the corresponding monthly rental price, in dollars, the company charges for the property at each of the five locations.The relationship between the monthly rental price r, in dollars, and the property’s purchase price p, in thousands of dollars, can be represented by a linear function. Which of the following functions represents the relationship?a)r(p) = 2.5p − 870b)r(p) = 5p + 165c)r(p) = 6.5p + 440d)r(p) =7.5p − 10Correct answer is option 'D'. Can you explain this answer?.
Solutions for Question refer to the following information.The Townsend Realty Group invested in the five different properties listed in the table above. The table shows the amount, in dollars, the company paid for each property and the corresponding monthly rental price, in dollars, the company charges for the property at each of the five locations.The relationship between the monthly rental price r, in dollars, and the property’s purchase price p, in thousands of dollars, can be represented by a linear function. Which of the following functions represents the relationship?a)r(p) = 2.5p − 870b)r(p) = 5p + 165c)r(p) = 6.5p + 440d)r(p) =7.5p − 10Correct answer is option 'D'. 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.The Townsend Realty Group invested in the five different properties listed in the table above. The table shows the amount, in dollars, the company paid for each property and the corresponding monthly rental price, in dollars, the company charges for the property at each of the five locations.The relationship between the monthly rental price r, in dollars, and the property’s purchase price p, in thousands of dollars, can be represented by a linear function. Which of the following functions represents the relationship?a)r(p) = 2.5p − 870b)r(p) = 5p + 165c)r(p) = 6.5p + 440d)r(p) =7.5p − 10Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Question refer to the following information.The Townsend Realty Group invested in the five different properties listed in the table above. The table shows the amount, in dollars, the company paid for each property and the corresponding monthly rental price, in dollars, the company charges for the property at each of the five locations.The relationship between the monthly rental price r, in dollars, and the property’s purchase price p, in thousands of dollars, can be represented by a linear function. Which of the following functions represents the relationship?a)r(p) = 2.5p − 870b)r(p) = 5p + 165c)r(p) = 6.5p + 440d)r(p) =7.5p − 10Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Question refer to the following information.The Townsend Realty Group invested in the five different properties listed in the table above. The table shows the amount, in dollars, the company paid for each property and the corresponding monthly rental price, in dollars, the company charges for the property at each of the five locations.The relationship between the monthly rental price r, in dollars, and the property’s purchase price p, in thousands of dollars, can be represented by a linear function. Which of the following functions represents the relationship?a)r(p) = 2.5p − 870b)r(p) = 5p + 165c)r(p) = 6.5p + 440d)r(p) =7.5p − 10Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Question refer to the following information.The Townsend Realty Group invested in the five different properties listed in the table above. The table shows the amount, in dollars, the company paid for each property and the corresponding monthly rental price, in dollars, the company charges for the property at each of the five locations.The relationship between the monthly rental price r, in dollars, and the property’s purchase price p, in thousands of dollars, can be represented by a linear function. Which of the following functions represents the relationship?a)r(p) = 2.5p − 870b)r(p) = 5p + 165c)r(p) = 6.5p + 440d)r(p) =7.5p − 10Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Question refer to the following information.The Townsend Realty Group invested in the five different properties listed in the table above. The table shows the amount, in dollars, the company paid for each property and the corresponding monthly rental price, in dollars, the company charges for the property at each of the five locations.The relationship between the monthly rental price r, in dollars, and the property’s purchase price p, in thousands of dollars, can be represented by a linear function. Which of the following functions represents the relationship?a)r(p) = 2.5p − 870b)r(p) = 5p + 165c)r(p) = 6.5p + 440d)r(p) =7.5p − 10Correct answer is option 'D'. 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