Answer:
[tex]5 + 7x \le 33[/tex]
Step-by-step explanation:
Given
[tex]Base\ Charge = 5[/tex]
[tex]Additional = 7[/tex] per mile
[tex]Total = 33[/tex]
Required
Determine the inequality
First, we need to determine the total cost for x miles.
[tex]Cost = Base\ Charge + Additional * x[/tex]
[tex]Cost = 5 + 7 * x[/tex]
[tex]Cost = 5 + 7x[/tex]
The total cost can not exceed the amount he has, so the inequality is:
[tex]Cost \le Total[/tex]
[tex]5 + 7x \le 33[/tex]