If r varies directly as the square of t and r is 20 when t is 2, find r when t is 7.
A direct variation is a relationship between two variables, x and y, that can be written as y = kx where k ≠ 0.
The statement, "r varies directly as the square of t" translated into directly variation is r = kt² where k is the constant of variation.
Solve if r is 20 and t is 2. So, find the constant using the equation of a combined variation.
The constant of the variation is 5. In equation of variation.
Find r when t is 7. Substitute the equation using the constant of the variation that you obtained.
∴ Therefore, the value of r is 245 to the directly variation.
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