A moving truck rental company charges $34.95 to rent a truck, plus $0.78 per mile. Suppose the function [tex]C(d)[/tex] gives the total cost of renting the truck for one day if you drive 40 miles.

Give the formula for [tex]C(d)[/tex]. Make sure to give the complete formula as an equation.
[tex]C(d)=34.95+0.78 d[/tex]

Give the total rental cost if you drive the truck 40 miles. Give the function notation in the first box, the answer in the second box, and choose the correct units from the third box.

Question

A moving truck rental company charges $34.95 to rent a truck, plus $0.78 per mile. Suppose the function [tex]C(d)[/tex] gives the total cost of renting the truck for one day if you drive 40 miles.

Give the formula for [tex]C(d)[/tex]. Make sure to give the complete formula as an equation.
[tex]C(d)=34.95+0.78 d[/tex]

Give the total rental cost if you drive the truck 40 miles. Give the function notation in the first box, the answer in the second box, and choose the correct units from the third box.

GinnyAnswer · Answer

The formula for the total cost C ( d ) is found by adding the fixed cost and the variable cost based on the distance d : C ( d ) = 34.95 + 0.78 d . 
 Substitute d = 40 into the formula: C ( 40 ) = 34.95 + 0.78 ( 40 ) . 
 Calculate the total cost: C ( 40 ) = 34.95 + 31.2 = 66.15 . 
 The total rental cost for driving 40 miles is 66.15 ​ dollars. 
 
 Explanation 
 
 Understanding the Problem The problem states that a moving truck rental company charges $34.95 to rent a truck, plus $0.78 per mile. The function C ( d ) gives the total cost of renting the truck for one day if you drive d miles. We need to find the formula for C ( d ) and the total rental cost if you drive the truck 40 miles. 
 
 Finding the Formula for C(d) The formula for C ( d ) is the sum of the fixed rental cost and the cost per mile times the number of miles driven. Therefore, we have C ( d ) = 34.95 + 0.78 d 
 
 Calculating the Total Rental Cost To find the total rental cost if you drive the truck 40 miles, we substitute d = 40 into the formula for C ( d ) :
 C ( 40 ) = 34.95 + 0.78 ( 40 ) C ( 40 ) = 34.95 + 31.2 C ( 40 ) = 66.15 
 
 Stating the Final Answer The total rental cost if you drive the truck 40 miles is $66.15 .

Examples 
 This type of calculation is useful when budgeting for a trip or move. For example, if you are moving to a new city and need to rent a moving truck, you can use this formula to estimate the total cost of renting the truck based on the distance you need to drive. This helps you plan your expenses and make informed decisions about your move.

Anonymous · Answer

The total cost function for renting a truck is given by C ( d ) = 34.95 + 0.78 d . If you drive the truck for 40 miles, the total rental cost is C ( 40 ) = 66.15 dollars. Therefore, the total rental cost for driving the truck 40 miles is $66.15. 
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Answer (2)

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