Mathematics

This is a problem about working backwards from a total budget through a tiered pricing structure. You have $10 total, but$2 goes to the tip, leaving $7.60 for the actual fare—so figure out how many miles that buys you. The key insight is to handle the first half-mile separately (it has a fixed price), then use the remaining money to calculate how many 0.1-mile increments you can afford at the constant rate.

This is a problem about working backwards from a total budget through a tiered pricing structure. You have $10 total, but$2 goes to the tip, leaving $7.60 for the actual fare—so figure out how many miles that buys you. The key insight is to handle the first half-mile separately (it has a fixed price), then use the remaining money to calculate how many 0.1-mile increments you can afford at the constant rate.