Question

The cost C, in dollars, of renting a moving truck for a day is given by the function C(x) = 0.20x + 45, where x is the number of miles driven. What is the cost if a person drives x = 160 miles?

Answer 1

To find the cost of renting a moving truck for a day when driving 160 miles, plug 160 into the given function C(x) = 0.20x + 45, resulting in a total cost of $77.

Step-by-step explanation:

The cost C, in dollars, of renting a moving truck for a day is given by the function C(x) = 0.20x + 45, where x is the number of miles driven. To calculate the cost of driving x = 160 miles, we substitute 160 for x in the given function.

Step-by-step calculation:

1. Write down the cost function: C(x) = 0.20x + 45.
2. Substitute 160 for x: C(160) = 0.20(160) + 45.
3. Calculate the multiplication: 0.20 * 160 = 32.
4. Add this to the base cost of 45: 32 + 45 = 77.
5. The total cost C when driving 160 miles is 77 dollars.

Therefore, the cost of renting a moving truck for a day and driving 160 miles is $77.