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?

Question

Mathematics

Emely Woodward

23 June, 20:55

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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Answers (1)

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Cinnamon · Answer 1

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)