Atruck rental company rents a moving truck for one day by charging $ 34 plus $ 0.06 per mile. write a linear equation that relates the cost c, in dollars, of renting the truck to the number x of miles driven. what is the cost of renting the truck if the truck is driven 179 miles? 368 miles?

Given : A truck rental company rents a moving truck for one day by charging $ 34 plus $ 0.06 per mile.

i.e. Cost (in dollars) = 34 + 0.06 × No. of miles driven

Let x be the number of miles driven then the cost ( in dollars) of renting the truck is given by :-

Hence, the linear equation that relates the cost C, in dollars, of renting the truck to the number x of miles driven :

At x= 176

Hence, the cost of renting the truck if the truck is driven 179 miles = $44.56

At x= 368

Hence, the cost of renting the truck if the truck is driven 368 miles = $56.08

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.