Question

Mega Movers charges $19.50 per day for truck rentals, plus an additional mileage fee of $0.95 per mile. U-Move-It charges $42.00 per day for truck rentals, plus an additional mileage fee of $0.45 per mile for mileage over 20 miles. Which of the following systems of equations could be used to find the total mileage, m, that will make the cost, p, of renting a moving truck for one day equal at each rental company, assuming m≥20, is greater than or equal to, 20?

Answer 1

The equation used to find the total mileage, m, that will make the cost, p, of renting a moving truck for one day equal at each rental company is 45 miles

Equation

• Total mileage = m
• Cost = p

Mega movers:

Fixed cost per day = $19.50

Additional cost per mileage = $0.95

p = 19.50 + 0.95m

U-move:

Fixed cost per day = $42.00

Additional cost per mileage =$0.45

p = 42.00 + 0.45m

• Equate the cost of both company

19.50 + 0.95m = 42.00 + 0.45m

0.95m - 0.45m = 42.00 - 19.50

0.50m = 22.50

m = 22.50 / 0.50

m = 45 miles

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