Question
You just reanted a new apartment and need to move your belongings from one apartment to the new one. You contact two rental companies and
You just reanted a new apartment and need to move your belongings from one apartment to the new one. You contact two rental companies and receive the following information for the one-day cost of renting a moving van:
Company A: $39.95 per day, plus $0.79 per mile.
Company B: $59.95 per day, plus $0.29 per mile.
Assuming you will only need the moving van for one day, let m represent the number of miles driven in one day, let A represent the total daily rental cost of Company A in dollars, and let B represent the total daily rental cost of Comoany B in dollars.
a. Write two equations - one represents the costs of Company A with respect to the number of miles driven and one that represents the costs of Company B with respect to the number of miles driven.
b. Use the equations you created in part (a) to complete the following table.
Number of miles driven | 15 | 28 | 40 | 64 |
Total cost if using Company A | ||||
Total cost if using Company B |
c. Based on the table ONLY, determine between what number of miles driven should the two companies cost the same? Justify your answer using specific information in the table and use complete sentences.
d. Set up and deconstruct the equation to determine when the cost of renting from Company A will be equal to the cost of renting a van from Company B.
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