Final answer:
The cost for a 5-mile ride is calculated by adding the initial 1/10 mile charge to the cost of the remaining 49/10 miles. The result is $1.00 plus $4.90, totaling $5.90. However, this total is not reflected in the given answer choices, suggesting there could be a typo in the question.
Step-by-step explanation:
The cost of a 5-mile taxi ride is calculated by considering the initial charge and the charge for the remaining distance. The first 1/10 mile costs $1.00. There are 10 tenths in a mile, so for a 5-mile ride, there are 50 tenths. Subtract the initial 1/10 mile, leaving us with 49 tenths of a mile to be charged at $0.10 each.
The additional cost is 49 tenths × $0.10 per tenth = $4.90. Adding the initial $1.00 charge, the total cost comes to $1.00 + $4.90 = $5.90.
This is not one of the offered answer choices, which indicates that there may be a typo in the question or the student needs to review the available choices. A typo might be present either in the options provided or in the rates mentioned for the taxi service. Please double-check the rates and recalculate if needed or provide the correct set of options.