If y varies directly as x and inversely as the square of z and y=1/6 when x=20 and z =6, how do you find y when x = 14 and z=5?

Soren Wright

Soren Wright

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2022-09-01

If y varies directly as x and inversely as the square of z and y=1/6 when x=20 and z =6, how do you find y when x = 14 and z=5?

Answer & Explanation

blerbintiy0

blerbintiy0

Beginner2022-09-02Added 8 answers

the initial statement is y x z 2
to convert to an equation multiply by k the constant of variation
y = k × x z 2 = k x z 2
to find k use the given condition
y = 1 6 when x = 20 and z = 6
y = k x z 2 k = y z 2 x = 1 6 × 36 20 = 3 10
equation is | 2 2 y = 3 x 10 z 2 2 2 | ̲ ¯
when x = 14 and z = 5 then
y = 3 × 14 10 × 25 = 21 125

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