Final answer:
To find the actual distance traveled, divide the odometer reading by the factory-installed tire circumference. The car has actually traveled approximately 934.095 revolutions. To convert this into miles, multiply the number of revolutions by the circumference of the new tires and convert the result to miles.
Step-by-step explanation:
To determine the actual distance traveled, you need to calculate the number of revolutions made by the tires. The factory-installed tire circumference is 80.33 inches, which means that the car covers this distance in one revolution. So, for each revolution, the car travels 80.33 inches. To find out how many revolutions the tires have made, you can divide the odometer reading (75,000 miles) by the factory-installed tire circumference (80.33 inches per revolution). Let's do the calculation:
Number of revolutions = Odometer reading / Tire circumference per revolution
Number of revolutions = 75,000 miles / 80.33 inches
Number of revolutions = 934.095
Therefore, the car has actually traveled approximately 934.095 revolutions. To convert this into miles, you can multiply the number of revolutions by the circumference of the new tires (106.19 inches per revolution) and convert the result to miles:
Actual distance traveled = Number of revolutions * Tire circumference per revolution
Actual distance traveled = 934.095 revolutions * 106.19 inches
Actual distance traveled = 99,144.50605 inches
Since there are 12 inches in a foot and 5,280 feet in a mile, you can convert the inches to miles:
Actual distance traveled = 99,144.50605 inches * (1 foot / 12 inches) * (1 mile / 5,280 feet)
Actual distance traveled = 99,144.50605 miles
Therefore, the correct answer is C. 99,144.