Question

Morwenn rents a truck. She pays $20 plus $0.25 per mile. If she drives x miles, which expression represents the total cost (C) of renting the truck?

a. C = 20 + 0.25x
b. C = 20x + 0.25
c. C = 20x - 0.25
d. C = 20 - 0.25x

Answer 1

The correct expression that represents the total cost (C) of renting the truck for Morwenn is C = 20 + 0.25x, which is option a.

Step-by-step explanation:

The question is asking to find an expression that represents the total cost (C) of renting a truck given that there is a fixed cost and a variable cost that depends on the distance driven. The fixed cost is $20 and the variable cost is $0.25 per mile.

If Morwenn drives x miles, the total cost will include the fixed cost plus the variable cost times the number of miles driven. Therefore, the expression for the total cost (C) is:

C = fixed cost + (variable cost per mile × number of miles driven)
C = 20 + 0.25x

This corresponds to option a. Thus, for any given number of miles x that Morwenn drives, you simply multiply that by $0.25 and then add $20 to that product to get the total cost.