Question
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Which expression represents the total cost
for Ari to rent a bike for hours and Meg to
rent a scooter for hours?

Ask by Simmons Romero. in the United States
Mar 21,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The total cost is , which simplifies to .

Solution

Let the bike cost for Ari be a fixed fee of dollars plus an additional charge of dollar per hour, so for hours the cost is
Let the scooter cost for Meg be a fixed fee of dollars plus an additional charge of dollar per hour, so for hours the cost is
The total cost for both is the sum of these two amounts:
Thus, the expression representing the total cost is .

Answered by UpStudy AI and reviewed by a Professional Tutor

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Simplify this solution

The Deep Dive

To determine the total cost for Ari to rent a bike for hours and Meg to rent a scooter for hours, let’s break it down. Ari pays a fixed fee of 9 and an hourly rate of 10 per hour for the bike, leading to a cost of . Meg’s scooter rental has no fixed fee, and she pays a flat rate of for the hours used. Therefore, the total expression representing their combined costs is .
Now, let’s analyze the options. The first choice clearly matches this breakdown and includes both of their costs perfectly, while others like misinterpret the intended structure of their charges. So, our perfect answer is indeed .
For anyone looking for a strategy to avoid common pitfalls in problems like these, always start by clearly defining the individual costs associated with each participant. Write down hourly rates and fixed fees separately before combining them to draft the total expression – this minimizes the risk of miscalculations or misunderstandings!
If you want to dig deeper into formulas for calculating costs, consider researching resources on linear functions and how they apply to real-life scenarios like rentals. Websites like Khan Academy or educational YouTube channels often provide engaging content that breaks down similar problems into easily digestible lessons. Happy learning!

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