Question

If z is inversely proportional to r, and z = 32 when r = 1.5, find r when z = 8.

Answer 1

z is inversly proportional to r then z = k/r

zr = k

If z = 32 when r = 1.5

32(1.5) = k

48 = k

k = 48

If z = 8 then r = ?

8r = k

8r = 48

Divide to each side by 8.

r = 48/8

r = 6