Question

R varies inversely with x . if r= -2 when x=6 what is the value of r when x= -3?

Answer 1

Answer:

r = 4

Step-by-step explanation:

Given that r varies inversely with x then the equation relating them is

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

To find k use the condition r = - 2 when x = 6

k = rx = - 2 × 6 = - 12

r = $\frac{-12}{x}$ ← equation of variation

When x = - 3, then

r = $\frac{-12}{-3}$ = 4