Y varies directly as x and inversely as the square of z. y=10 when x=80 and z=4. How do you find y when x=36 and z=2?

Truscelli3h

Truscelli3h

Answered question

2022-09-02

Y varies directly as x and inversely as the square of z. y=10 when x=80 and z=4. How do you find y when x=36 and z=2?

Answer & Explanation

Kiera Moreno

Kiera Moreno

Beginner2022-09-03Added 9 answers

As y varies directly as x, we have y∝x. Also it varies inversely as square of z, which means y∝1z2.
Hence, y∝xz2 or
y=k×xz2, where k is a constant.
Now when x=80 and z=4, y=10, so
10=k×8042=k×8016=5k
Hence k=105=2 and y=2xz2.
So when x=36 and z=2,
y = 2 × 36 2 2 = 72 4 = 18

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