Question

If y varies inversely with x, and y = 8 when x = 3, find y when x = 10. SHOW ALL WORK!!!

Answer 1

Answer:

y = 2.4

Step-by-step explanation:

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

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

To find k use the condition y = 8 when x = 3

k = yx = 8 × 3 = 24

y = $\frac{24}{x}$ ← equation of variation

When x = 10, then

y = $\frac{24}{10}$ = 2.4