We know that it costs $0.06 for every mile driven and we plan to drive 100 miles, that means we can set the inequality as:
40x + 0.06(100) ≤ 130
40x + 6 ≤ 130
Rearranging the inequality so we have the variable alone on one side, we get:
40x ≤ 124
Divide both sides by 40 to get x alone.
x ≤ 3.1
Solution: Aaden can afford to drive the car for 3 days and stay under his budget.