Question

A workout company offers their services for $37 per month plus a one-time fee for equipment. The total cost for equipment and 9 months of service is $432. Write and solve a linear equation to find the total cost for 3 years of service

Answer 1

$1431

Explanation:

Representation;

e = one-time fee payment for equipment

m = monthly service fee.

\\ Equation

e + 9m = 432

e + 9(37) = 432

e + 333 = 432

e = 432 - 333

e = 99

… In the equation their one-time fee payment is $99

\\ Equation - Solving for 3 yrs

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Important: Convert the 3 years to months

1 yr = 12 months

3 yrs = 36 months.

e + 36m = {Price} - The equation to find The TC

99 + 36(37)

1431

## Therefore, the TC ( Total cost ) of the service for 3 yrs would be $1431