Question

A variable 'm' varies directly as 'a' and inversely as 'b'. If m=6 when a=7 and b=4, what is 'm' when a=9 and b=12?

M= constant*a/b

Find the constant from the first set of data, then, using that, find m in the second set.

Answer 1

m directly to a and inversely to b
m=ka m=k1dividedb
6=k7
6divided by 7=0.857

Answer 2

y varies inversely with x, and x = 7 when y = 35. Find the inverse variation equation and use it to find the value of x when y = 50.