Value of a varies directly as the square of the value of b, and b=3 when a=10. What is a when b=9?

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21-05-2018
Mathematics

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Value of a varies directly as the square of the value of b, and b=3 when a=10. What is a when b=9?

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altavistard altavistard · Answer 1 · 2018-05-21T15:42:51+02:00

altavistard altavistard

21-05-2018

General equation: a = k*b^2

Specifically: 10 = k*(3)^2 = 9 k

Solving for k: k = 10/9

Then a = (10/9)b^2. If b = 9, then a = (10/9)(9)^2 = 90 (answer)

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