Answer:
There is an initial charge of $35.00 for every mile traveled.
Step-by-step 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".
