You can rent a car for the day from Company A for $28 plus $0.11 a mile. Company B charges $22.00 plus $0.22 a mile. Find the number of miles m (to the nearest mile)per day for which it is cheaper to rent from Company A.
A)less than 152 miles
B)less than 55 miles
C)more than 55 miles
D)less than 104 miles
E)more than 152 miles

Question

Quizplus · Accepted Answer

The cost of renting from Company A is 28 + 0.11m, and the cost of renting from Company B is 22 + 0.22m. To find the number of miles for which it is cheaper to rent from Company A, we need to solve the inequality 28 + 0.11m < 22 + 0.22m. Subtracting 0.11m from both sides, we get 28 < 11 + 0.11m. Subtracting 11 from both sides, we get 17 < 0.11m. Dividing both sides by 0.11, we get m > 154.54545454545455. Rounding up to the nearest mile, we get m > 155. Therefore, it is cheaper to rent from Company A for more than 155 miles per day.

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