Question

Suppose y varies inversely as x and y=12 when x=6 find y if x=8

Answer 1

Answer:

y = 9

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 y = 12 when x = 6

12 = $\frac{k}{6}$ ← multiply both sides by 6 to clear the fraction

72 = k

y = $\frac{72}{x}$ ← equation of variation

when x = 8 , then

y = $\frac{72}{8}$ = 9