If s varies directly as t2, and s = 125 when t = 5, find s when t is 7.
A)s = 25
B)s = 35
C)s = 175
D)s = 245

Name: If s varies directly as t2, and s = 125 when t = 5, find s when t is 7. A)s = 25 B)s = 35 C)s = 175 D)s = 245
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Quizplus · Accepted Answer

Since s varies directly as t^2, we can write s = kt^2, where k is a constant. Given s = 125 when t = 5, we can find k: 125 = k(5^2) => k = 125/25 = 5. To find s when t = 7, substitute t = 7 into s = 5t^2: s = 5(7^2) = 5(49) = 245.

If S Varies Directly as T2, and S = 125