Final answer:
By setting up an equation to include the base fee and additional charge per mile, and solving for the number of miles, it was determined that Felipe drove 156 miles with the rented truck.
Step-by-step explanation:
The question involves using algebra to solve for the number of miles Felipe drove the truck. First, let's establish the equation based on the information provided: There is a base fee of $17.99 and an additional charge of 92 cents per mile driven. He paid a total of $161.51 when he returned the truck.
The equation representing the total cost would be:
Total cost = Base fee + (Charge per mile × Number of miles)
161.51 = 17.99 + (0.92 × Number of miles)
Now, we will solve for the number of miles driven by Felipe:
161.51 - 17.99 = 0.92 × Number of miles
143.52 = 0.92 × Number of miles
Number of miles = 143.52 / 0.92
Number of miles = 156
Therefore, Felipe drove 156 miles.