Question

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

Answer 1

r = 4

Explanation:

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

r =
`(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 =
`(-12)/(x)` ← equation of variation

When x = - 3, then

r =
`(-12)/(-3)` = 4