Question

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 $c$-intercept of the equation.
provide your answer below:
the $c$-intercept, means that if janelle drove miles on a particular day it would cost her dollars to rent the car for that day.
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Explanation:

Step1: Recall the form of a linear - equation

The equation $C = 0.32m+15$ is in the slope - intercept form $y = mx + b$, where $b$ is the $y$ - intercept. In our case, when $m = 0$ (no miles driven), we find the $C$ - intercept.

Step2: Substitute $m = 0$ into the equation

Substitute $m = 0$ into $C=0.32m + 15$. Then $C=0.32\times0 + 15=15$.

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.