Question

If x=0.8 when y=360 and y varies inversely as x, find y when x=24

Answer 1

Answer:

y = 12

Step-by-step explanation:

given that 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 = 0.8 when y = 360, hence

k = yx =360 × 0.8 = 288

y = $\frac{288}{x}$ ← equation of variation

When x = 24, then

y = $\frac{288}{24}$ = 12