Question

The total charge in dollars for a car rental can be determined by using the function c = 0.4x + 35, where c represents the total cost of the rental and x represents the total distance traveled in miles. Which statement justifies that the total cost for renting this car and driving a distance of 100 miles is $75.00? The total cost increases $0.40 for every 35 miles traveled. The total cost increases $35.00 for every 40 miles traveled. There is an initial charge of $35.00 for every mile traveled. The cost increases $0.40 for every mile traveled after an initial charge of $35.00.​

Answer 1

There is an initial charge of $35.00 for every mile traveled.

Explanation:

From the question, the cost function s given as follows:

c = 0.4x + 35 .................... (1)

Where;

Total cost = c

Variable cost per mile = $0.40

Number of miles traveled = x

Total variable cost = 0.4x = 0.40 * x

Fixed cost = Initial cost = $35

From the above, the fixed cost or initial cost implies that no matter the number of miles a passenger takes, he is going to pay $35 in addition to the variable cost to pay.

From the question, for driving a distance of 100 miles we have:

Number of miles traveled = x = 100

Total variable cost = 0.40 * 100 = 40

Substituting the relevant value into equation (1), we have:

c = 40 + 35

c = 75

Since the total cost obtained above is $75.00, it therefore implies that the correct statement that justifies that the total cost for renting this car and driving a distance of 100 miles is $75.00 is "There is an initial charge of $35.00 for every mile traveled".