If y varies inversely as x^2 and y = 10 when x=2 , find y when x = 0.5?

Finley Mcintosh

Finley Mcintosh

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2022-09-02

If y varies inversely as x^2 and y = 10 when x=2 , find y when x = 0.5?

Answer & Explanation

saniraore

saniraore

Beginner2022-09-03Added 7 answers

Write it as an inverse proportion first
y 1 x 2
Change into an equation by multiplying by a constant.
y = k x 2
Find the value of the constant
k = x 2 × y = 2 2 × 10 = 40
Use the constant in the equation
y = 40 x 2
Solve for y when x = 0.5
y = 40 0.5 2 = 160

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