Question

Janelle is planning to rent a car while on vacation. The equation C=0.32m+15 models the relation between the cost in dollars, C, per day and the number of miles, m, she drives in one day. Interpret the slope of the equation.
Select the correct answer below:


The slope, 15, means that the cost for renting the car on a particular day increases by 15 dollars for every 15 miles she drives on that day.


The slope, 15, means that the cost for renting the car on a particular day increases by 15 dollars for each mile she drives on that day.


The slope, 0.32, means that the cost for renting the car on a particular day increases by 0.32 of a dollar for each mile she drives on that day.


The slope, 0.32, means that the cost for renting the car on a particular day increases by 0.32 of a dollar for each 0.32 of a mile she drives on that day.

Answer 1

Answer: Third option.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope of the line and "b" is the y-intercept.

In this case we have the following equation that models the relation between the cost in dollars (C) per day and the number of miles (m) Janelle drives in one day:

$C=0.32m+15$

You can identify that that the slope is $0.32$ and the y-intercept is $15$.

This indicates that for every increase of $1$ in the input variable "m", the value of the output variable "C" will increase by $0.32$

Therefore, the slope,$0.32$, means that the cost for renting the car on a particular day increases by $0.32$ of a dollar for each mile she drives on that day.

Answer 2

Answer:

The C-intercept, 15, means that if Janelle drove 0 miles on a particular day it would cost her 15 dollars to rent the car for that day.

Step-by-step explanation: