Question

example problem 3: from a verbal description a car rental company charges a $25 flat fee plus $0.15 per mile driven. questions: 1. define the variables. 2. write the equation that models the cost c in terms of miles m. 3. how much would it cost to drive 100 miles?

Explanation:

Step1: Define variables

Let $m$ be the number of miles driven and $C$ be the total cost.

Step2: Write the cost - equation

The flat fee is $25$ and the cost per mile is $0.15$. So the equation for the cost $C$ in terms of the number of miles $m$ is $C = 25+0.15m$.

Step3: Calculate cost for 100 miles

Substitute $m = 100$ into the equation $C = 25 + 0.15m$.
$C=25+0.15\times100$.
First, calculate $0.15\times100 = 15$.
Then, $C=25 + 15=40$.

Answer:

1. Let $m$ be the number of miles driven and $C$ be the total cost of the car rental.
2. $C = 25+0.15m$
3. It would cost $40$ to drive 100 miles.