Question

Assume that y varies inversely with x. If y=7 when x=2/3, find y when x=7/3

Answer 1

Inverse variation is of the form:

y=k/x, which we can express as:

yx=k  we are given the point (2/3, 7) so we can solve for k

7(2/3)=k

14/3=k

y=14/(3x), so when x=7/3

y=(14/3)/(7/3)

y=(14/3)(3/7)

y=2