Question

Find x when y = 32, given that x varies inversely as y, and x = 132 when y = 4.

Answer 1

Answer:

When y=32, x=16.5

Step-by-step explanation:

Find x when y = 32, given that x varies inversely as y, and x = 132 when y = 4.

We are given:

x varies inversely with y

We can write it as: $x\:\alpha \:\frac{1}{y}$

$x=\frac{k}{y}$

We have x = 132, when y=4

We can find value of k by using these values

$x=\frac{k}{y}\\132=\frac{k}{4}\\k=132*4\\k=528$

We need to find x when y=32

$x=\frac{k}{y}\\x=\frac{528}{32}\\x=16.5$

So, when y=32, x=16.5