slope intercept word problem

Question

The cost of renting a certain type of car is $56 per day plus $0.25 per mile. Identify fixed cost (intercept) and variable cost (slope). Then find a linear function that expresses the cost C(x) of renting a car for one day as a function of the number of miles driven x.

Answer 1

Fixed cost is rental

cost per day

 

(y-intercept)= $56

 

variablue cost (slope)

is $.25 per mile

 

cost for one day is

 

c(X) = $.25x + $56

 

y = mX + b

Answer 2

If the car costs $56 per day, and it's being rented for only one day, then that's our fixed cost, or intercept. The variable is how far the car is driven, so that's .25

 

That leaves the function as:

C(x) = .25x + 56 for the day.