Question

PLEASE HELP IMMEDIATELY

A moving truck rental company charges $37.95 to rent a truck,
plus $0.62 per mile. Suppose the function C(d) gives the total
cost of renting the truck for one day if you drive d miles.

State the formula for Cd). Make sure to give the complete
formula as an equation.

_______

Use function notation to give the total rental cost if you drive
the truck 74 miles. Give the function notation in the first box,
the answer in the second box (rounded to one decimal place),
and choose the correct units from the third box.


______=______

Suppose you have 5110 budgeted to move. What is the furthest
distance you can drive the truck? Round your answer down to
the nearest whole number and choose the correct units.

___________​

Answer 1

a) C(d) = 37.95 + 0.62d

b) C(74) = 37.95 + 0.62(74)

83.8 dollars

c) 8181 miles

Explanation:

The company charges a fee of 37.95 just for the rent and then 0.62 dollars per mile.

So if one person travels one mile they will pay:

37.95 + 0.62

Two miles: 37.95 + 0.62 (2)

Three miles: 37.95 + 0.62 (3)

d miles: 37.95 + 0.62(d)

Thus, the function C(d) that gives the total cost of renting the truck for one day if you drive d miles would be C(d) = 37.95 + 0.62d

Now, if we drive 74 miles, the function that gives us the cost would be:

C(74) = 37.95 + 0.62(74) = 37.95 + 45.88 = 83.83 = 83.8 dollars

Now, if we have 5110 dollars on our budget, we would have to substitute this in our function to know how many miles we can drive with that amount:

`C(d)= 37.95+0.62d=5110\\37.95+0.62d=5110\\0.62d=5110-37.95\\0.62d=5072.05\\d=5072.05/ 0.62 \\d=8180.7`

Thus, we could drive 8181 miles