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An officer rented a car for six days and paid $450. How many miles did the officer drive if the rental company charged $35 per day plus $0.30 per mile?

  1. 750 miles

  2. 800 miles

  3. 900 miles

  4. 700 miles

The correct answer is: 800 miles

To find out how many miles the officer drove, we first need to determine the total cost of the rental and how that cost breaks down. The officer rented the car for six days at a daily rate of $35. The total cost for the rental days alone can be calculated as follows: Daily charge = $35 Number of days = 6 Total daily charges = $35 * 6 = $210 Next, to find the total amount that went towards mileage, we subtract the daily charges from the total amount paid: Total amount paid = $450 Total daily charges = $210 Total charge for mileage = Total amount paid - Total daily charges = $450 - $210 = $240 The rental company also charges $0.30 per mile. To find out how many miles were driven, we use the cost allotted to mileage and divide it by the per-mile charge: Cost per mile = $0.30 Total charge for mileage = $240 Miles driven = Total charge for mileage ÷ Cost per mile = $240 ÷ $0.30 = 800 miles This shows that the officer drove a total of 800 miles during the rental period, confirming that this is the correct calculation for the question