Suppose z varies directly with x and inversely with the square of y. If z=18 when x=6 and y=2, what is z when x=8 and y=9?

albiguguiismx

albiguguiismx

Answered question

2022-09-03

Suppose z varies directly with x and inversely with the square of y. If z=18 when x=6 and y=2, what is z when x=8 and y=9?

Answer & Explanation

Sharon Dawson

Sharon Dawson

Beginner2022-09-04Added 20 answers

the initial statement here is z x y 2
to convert to an equation multiply by k the constant of variation
z = k x y 2
to find k use the given condition
z=18 when x=6 and y=2
z = k x y 2 k = y 2 z x = 4 × 18 6 = 12
equation is | 2 2 z = 12 x y 2 2 2 | ̲ ¯
when x=8 and y=9
z = 12 × 8 81 = 32 27

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