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A car rental agency advertise renting a luxury, full-size car for $29.95 per day and $0.39 per mile. If you rent this car for 2 days, how many whole miles can you drive if you only have $200 to spend.

how do i translate it into an equation and solve this problem step by step.

User Ewizard
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1 Answer

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Final answer:

To solve the car rental equation, calculate the total fixed cost for 2 days, subtract it from the total budget, and then divide the remaining budget by the cost per mile. You can drive approximately 359 whole miles.

Step-by-step explanation:

To translate this car rental problem into an equation and solve it, we need to account for the daily rate and the per mile charge. The daily rate is $29.95, and if the car is rented for 2 days, the total fixed cost is 2 times $29.95. Then we have $0.39 per mile as the variable cost. If you have $200 to spend, we subtract the fixed cost from the total budget to calculate how much money is left for miles.


Step-by-Step Solution:


  1. Calculate the total fixed cost for 2 days: $29.95 per day × 2 days = $59.90.

  2. Subtract the fixed cost from the total budget: $200 - $59.90 = $140.10 left for miles.

  3. Divide the remaining budget by the cost per mile to find the number of miles: $140.10 ÷ $0.39 per mile.

  4. Calculate the number of whole miles: $140.10 ÷ $0.39 per mile ≈ 359 miles.

You can drive approximately 359 whole miles with the remaining budget after paying for the 2-day rental cost

User Kschaeffler
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