Given that x^n is inversely proportional to y and y is a quarter of its original...

Question

Question

Given that x^n is inversely proportional to y and y is a quarter of its original value when x is doubled, calculate the value of n.

math algebra

Answer 1

Answer #1

We have xⁿ = k/y where k is the constant of proportionality. Hence y = k/xⁿ.

Aso y/4 = k/(2x)ⁿ so that y = 4k/(2ⁿ *xⁿ).

Therefore, k/xⁿ = 4k/(2ⁿ *xⁿ) or, (2ⁿ *xⁿ)/ xⁿ = = 4k/k or, 2ⁿ = 4 = 2².

Hence n = 2.

Answer 2

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