Question

Dylan is moving and must rent a truck. There is an initial charge of $35 for the rental plus an additional fee per mile. If Dylan were to drive 2 miles, the total cost would be $40. Write an equation for the function C(m), representing the total cost of renting the truck if Dylan were to drive m miles.

Answer 1

An equation for the function is C(m) = 35 + 2.5m

Step-by-step explanation

Given:

Initial charge of the truck = $35

Dylan Drove = 2 miles

Total Cost after Driving 2 miles = $40

To Find:

Equation for the function C(m), representing the total cost of renting the truck if Dylan were to drive m miles.

Solution:

Let

The additional cost be x

Then

Total cost of renting will be = Initial charge of the truck + (number of miles X additional charge per mile)

We have

Total cost of renting = C(m)

number of miles = m

additional charge per mile = x

---------------------------------(1)

But After 2 miles

x = 2.5

Additional charge per mile = $2.5

C(m) = 35 + 2.5m

Explanation:

Answer 2

An equation for the function is C(m) = 35 + 2.5m

Explanation:

Given:

Initial charge of the truck = $35

Dylan Drove = 2 miles

Total Cost after Driving 2 miles = $40

To Find:

Equation for the function C(m), representing the total cost of renting the truck if Dylan were to drive m miles.

Solution:

Let

The additional cost be x

Then

Total cost of renting will be = Initial charge of the truck + (number of miles X additional charge per mile)

We have

Total cost of renting = C(m)

number of miles = m

additional charge per mile = x

`C(m) = 35 + (m * x)`---------------------------------(1)

But After 2 miles

`40  = 35 + (2* x)`

`40  = 35 + 2x`

`40 - 35  = 2x`

`5  = 2x`

`x= (5)/(2)`

x = 2.5

Additional charge per mile = $2.5

`C(m) = 35 + (m * 2.5)`

C(m) = 35 + 2.5m