Question

Hannah is moving and must rent a truck. Hannah will have to pay $2.50 per mile driven on top of an initial charge of $45 for the rental. Make a table of values and then write an equation for C, in terms of m, representing the total cost of renting the truck if Hannah were to drive m miles.

A) C = 45 + 2.50m.
B) C = 2.50 + 45m.
C) C = 45m + 2.50.
D) C = 45/m + 2.50.
E) C = 45 - 2.50m.

Answer 1

The total cost of renting the truck can be calculated using the equation C = 45 + 2.50m, where C represents the total cost and m represents the number of miles driven.

Step-by-step explanation:

To create a table of values, we can select different values for m (the number of miles driven) and calculate the corresponding total cost C. Let's choose a few values for m and calculate C:

m = 10: C = 45 + 2.50(10) = 45 + 25 = 70

m = 20: C = 45 + 2.50(20) = 45 + 50 = 95

m = 30: C = 45 + 2.50(30) = 45 + 75 = 120

m = 40: C = 45 + 2.50(40) = 45 + 100 = 145

m = 50: C = 45 + 2.50(50) = 45 + 125 = 170

To write the equation for C in terms of m, we can see that the total cost is equal to the initial charge of $45 plus $2.50 for every mile driven. Therefore, the equation is:

C = 45 + 2.50m