Question

A car rental agency charges $75 per day, which includes 100 miles. For each mile over 100 miles, there is an additional cost of $0.35 per mile. Write an equation relating
m, the number of miles driven, if the total cost for a one-day rental was $131.

Part A. Write an equation relating m , the number of miles driven, if the total cost for a one-day rental was $131.

Part B. Find the solution to the equation you created in the previous question and explain what the solution means in this situation.

Answer 1

The number of miles, m driven if the total cost for a one-day rental was $131 is; m = 160

According to the question;

• The agency charges $75 per day, which includes 100 miles.

• Additionally, the agency charges $0.35 per mile for each additional mile;

a) The equation relating m , the number of miles driven, if the total cost for a one-day rental was $131 is therefore;

• $0.35m + $75 = $131.

b) To find the solution to the equation;

• $0.35m = $131 - $75

• $0.35m = $56

• m = $56/$0.35

m = 160.

The number of miles, m driven if the total cost for a one-day rental was $131 is; m = 160.

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