Question

If y varies inversely as x, and y = 23 when x 8, find y when x 4.

Answer 1

Answer:

y = 46

Step-by-step explanation:

Given y varies inversely as x then the equation relating them is

y = $\frac{k}{x}$ ← k is the constant of variation

To find k use the condition y = 23 when x = 8 , then

23 = $\frac{k}{8}$ ( multiply both sides by 8 )

184 = k

y = $\frac{184}{x}$ ← equation of variation

When x = 4 , then

y = $\frac{184}{4}$ = 46