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.

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

The common denominator is 3.

Step-by-step explanation:

Since, In a fraction, ,

q is called the denominator of the fraction,

And, When two or more fractions have the same denominator then this denominator is called the common denominator.

Here, the given expression,

   ( Because, L.C.M(1,3) = 3)

⇒ 3 is the common denominator of the given expression .