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If c is directly proportional to s2 and c = 7/16 when s = 1/4, what is the value of s when c = 175?
- a)2
- b)3
- c)4
- d)5
- e)6
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
If c is directly proportional to s2 and c = 7/16when s = 1/4, what is ...
To find the value of s when c = 175, we can use the given information that c is directly proportional to s^2. This means that the ratio of c to s^2 is constant. Let's find this constant.
Given that c = 7/16 when s = 1/4, we can set up the following proportion:
c/s^2 = k
where k is the constant of proportionality.
Plug in the given values:
(7/16)/(1/4)^2 = k
Simplify:
(7/16)/(1/16) = k
(7/16) x (16/1) = k
7 = k
Now that we have the constant of proportionality, we can use it to find the value of s when c = 175.
Set up the proportion again:
c/s^2 = k
Plug in the values:
175/s^2 = 7
To solve for s, we can cross-multiply:
175 = 7s^2
Divide both sides by 7:
25 = s^2
Take the square root of both sides:
√25 = √(s^2)
5 = s
Therefore, when c = 175, the value of s is 5. Therefore, the correct answer is option D.
Given that c = 7/16 when s = 1/4, we can set up the following proportion:
c/s^2 = k
where k is the constant of proportionality.
Plug in the given values:
(7/16)/(1/4)^2 = k
Simplify:
(7/16)/(1/16) = k
(7/16) x (16/1) = k
7 = k
Now that we have the constant of proportionality, we can use it to find the value of s when c = 175.
Set up the proportion again:
c/s^2 = k
Plug in the values:
175/s^2 = 7
To solve for s, we can cross-multiply:
175 = 7s^2
Divide both sides by 7:
25 = s^2
Take the square root of both sides:
√25 = √(s^2)
5 = s
Therefore, when c = 175, the value of s is 5. Therefore, the correct answer is option D.
Community Answer
If c is directly proportional to s2 and c = 7/16when s = 1/4, what is ...
Since c is directly proportional to s2, then c = as2, for some constant a.
Given that c = 7/16 when s = 1/4, you can solve for a, as follows:
You now know that a = 7, and c = as2. Substitute 175 for c and 7 for a and solve for s, as follows:
175 = 7s2
25 = s2
s = 5
Given that c = 7/16 when s = 1/4, you can solve for a, as follows:
You now know that a = 7, and c = as2. Substitute 175 for c and 7 for a and solve for s, as follows:
175 = 7s2
25 = s2
s = 5
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If c is directly proportional to s2 and c = 7/16when s = 1/4, what is the value of s when c = 175?a)2b)3c)4d)5e)6Correct answer is option 'D'. Can you explain this answer?
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If c is directly proportional to s2 and c = 7/16when s = 1/4, what is the value of s when c = 175?a)2b)3c)4d)5e)6Correct answer is option 'D'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about If c is directly proportional to s2 and c = 7/16when s = 1/4, what is the value of s when c = 175?a)2b)3c)4d)5e)6Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If c is directly proportional to s2 and c = 7/16when s = 1/4, what is the value of s when c = 175?a)2b)3c)4d)5e)6Correct answer is option 'D'. Can you explain this answer?.
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