Answer:
<em>The payment for driving 80 miles is $78</em>
Step-by-step explanation:
<u>Mathematical model
</u>
Mathematical models are used in disciplines like natural sciences and engineering, among many others.
The data provided in the question allows building a model for the charges of the car rental, knowing there are two fees:
A fixed charge of $50
A variable charge or $0.35 per mile driven.
<em>Part A</em>
Using m as the number of miles driven for the day, the model for the payment for the car rental is:
P(m)=50+0.35m
<em>Part B</em>
Find the payment if the car is driven m=80 miles:
P(80)=50+0.35*80
P(80)=50+28=78
The payment for driving 80 miles is $78
