For a given distance, the required time t varies inversely as the rate r. If t = 6 when r = 45, find r when t = 41.
A inverse variation is a relationship between two variables, t and r, that can be written as t = k/r where k ≠ 0.
k is the constant of variation that relates the two variables. Now, write an equation of a inverse variation.
Solve if t is 6 and r is 45. So, find the constant.
The constant of the variation is 270. Find r if t is 41.
∴ The value of r is 6.49.
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