Solve the following variation problem.
The interest on an investment varies directly as the rate of interest. If the interest is $45 when the interest rate is 4%, find the interest when the rate is 9%.

The interest is $____. (Round to the nearest cent.)

Respuesta :

The interest for the investment when the rate is 9% gives $101.25

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

Let y represent the interest, k represent the constant and x represent the rate. Hence:

y = kx

If the interest is $45 when the interest rate is 4%:

45 = 0.04k

k = 1125

y = 1125

When the rate is 9%:

y = 1125(0.09) = 101.25

The interest for the investment when the rate is 9% gives $101.25

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