Final answer:
The question asks for the maximum distance Katie can travel with Mears taxi without exceeding her budget.
Step-by-step explanation:
The question pertains to the calculation of maximum distance Katie can travel using Mears taxi service without exceeding her spending limit. Since the exact figures for the flat rate and the per-mile charge are not provided, we'll assume them as F (flat rate) and P (per mile rate) respectively.
Let M be the maximum number of miles Katie can travel. With the given spending limit of S dollars, the following equation can be used to determine M:
F + P × M ≤ S
To solve for M, we rearrange the equation to:
M ≤ (S - F) / P
If we were given numerical values for F, P, and S, we could calculate the exact value for M. However, without these figures, we can only provide the method to solve the problem.