The costs for renting a car from Ace Car Rental and from Basic Car Rental are shown below. For what mileage does Basic Car Rental have the better deal? Use the inequality 38 + 0.01x > 42 + 0.05x

Answer 1

38 + 0.01x > 42 + 0.05x

-0.01x -0.01x (Bring x-terms on the same side by subtracting smaller term 0.01x from both sides)

38 > 42 + 0.04x

-42 -42. ( Isolate x-term by subtracting constant term of 42 from both sides)

-4 > 0.04x

-4 > 0.04x

0.04x < - 4 (Switch sides to have x-term on left side)

x < - 100 (Divide both sides by 0.04 to have x by itself or to solve for x)

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