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

Answer:

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

$C(m) = 35 + (m \times x)$---------------------------------(1)

But After 2 miles

$40 = 35 + (2\times x)$

$40 = 35 + 2x$

$40 - 35 = 2x$

$5 = 2x$

$x= \frac{5}{2}$

x = 2.5

Additional charge per mile = $2.5

$C(m) = 35 + (m \times 2.5)$

C(m) = 35 + 2.5m