SOLUTION: Given that T varies directly as S, and T = 36 when S = 9, find T when S = 2.

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Question 1198713: Given that T varies directly as S, and T = 36 when S = 9, find T when S = 2.
Found 3 solutions by Shin123, josgarithmetic, greenestamps:
Answer by Shin123(626) About Me  (Show Source):
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If T varies directly with S, we know that T=kS for some constant k. We know that if S=9, then T=36. We can plug this into the equation to get 36=k%2A9. Solving for k, we get k=4. Therefore, T and S are related by the equation T=4S. Finally, we can plug in S=2 to get T=4%2A2=highlight%288%29.

Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
k, variation constant

T=kS
T%2FS=k

Use given data to evaluate k.
k=36%2F9=4

Equation is T=4S.

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


Both of the responses you have received to now solve the problem by finding the constant of variation. That is useful if you are developing a formula that you are going to use multiple times with different data.

But it is more work than is necessary if you only need to find the answer to a single problem like this.

The value of S changes from 9 to 2 -- i.e., it gets multiplied by a factor of 2/9.
Since the variation is direct, T also gets multiplied by a factor of 2/9.

ANSWER: 36*(2/9) = 8