Question

Holly is renting a car. The amount that she will have to pay the rental agency, P, is described by the equation P = 25d + 32, where d represents the number of days Holly rents the car. Which is the meaning of the slope in this equation?

A.the one-time safety deposit fee

B.the total cost of renting the car

C.the daily rental fee for the car

D.the number of days Holly drives the car

Answer 1

Option C) the daily rental fee for the car

Explanation:

We are given the following in the question:

`P = 25d + 32`

where P is the amount to be paid and d is the number of days Holly rents the car.

Comparing the given equation to linear equation,

`y = mx + c`

where m is the slope and c is the y-intercept.

Comparing we get:

m = 25

c = 32

The total cost is sum of a one time safety deposit that is given be the y-intercept that is 32 units and the daily rental car fee is given by slope of the equation that is 25 units.

The slope of this equation tells the the daily rental fee for the car.