Question

Solve the following variation problem.

Answer 1

From the calculation done below, the interest when the rate is 9% is $101.25.

How interest is calculated using direct variation?

Since the interest on investment varies directly as the rate of interest, the relevant direct variation formula to use to calculate investment is as follows:

i = kr ................................. (1)

Where:

i = interest amount = $45

k = investment = ?

r = interest rate = 0.04

Substituting the values into equation (1) and solving for k, we have:

45 = k0.04

k = 45 / 0.04

k = $1,125

To find the interest when the rate is 9%, we substitute k = $1,125 and r = 9% into equation (1) as follows:

i = $1,125 * 9% = $101.25

Learn more about interest here: brainly.com/question/26457073.

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