Question

Which is the constant of variation if y varies directly with x and inversely with z, given that y=10 when x=10 and z=4

Answer 1

The general equation for this situation would be y = kx/z

plug in the values to find k

10 = (k × 10)/4 ←substituted the values

40 = 10k ← multiplied both sides of equation by 4

4 = k ← divided both sides of equation by 10

ANSWER: the constant of variation is 4