Question

If y varies inversely as x and x = 4 when y = 15, find y when x=6

Answer 1

Answer:

y = 10

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 x = 4 when y = 15 , then

15 = $\frac{k}{4}$ ( multiply both sides by 4 )

60 = k

y = $\frac{60}{x}$ ← equation of variation

When x = 6 , then

y = $\frac{60}{6}$ = 10