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Two payments to rent a car: you can pay $30 a day plus $0.10 a mile (option A) or pay $10 a day plus $0.50 a mile (option B). For what amount of daily miles will option A be the cheaper plan?

2 Answers

2 votes

Final answer:

To determine the amount of daily miles at which option A becomes cheaper, set up an equation and solve for the variable. Option A will be cheaper when the number of daily miles is greater than 50.

Step-by-step explanation:

To determine the amount of daily miles at which option A becomes cheaper, we need to set up an equation and solve for the variable. Let's assume x represents the number of daily miles. For option A, the total cost per day is $30 + $0.10x. For option B, the total cost per day is $10 + $0.50x. We want to find the value of x when the cost of option A is less than the cost of option B.

Setting up the equation:
30 + 0.10x < 10 + 0.50x

Simplifying the equation:
20 < 0.40x

Dividing both sides by 0.40:
x > 50

Therefore, option A will be cheaper when the number of daily miles is greater than 50.

answered
User Chris Jacob
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8.2k points
1 vote
option b) definitely i think
answered
User Alexandrw
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8.2k points

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