https://file.aiquickdraw.com/mathbot/file/1726491574217yldq15bh.jpg

https://file.aiquickdraw.com/mathbot/file/1726491574218o37kkqbz.jpg

The images you have uploaded seem to contain a word problem related to renting vans from two companies, A and B. From what I can see:

1. **Company A** charges a base rate of $399.95 per day, plus $0.79 per mile.
2. **Company B** charges a base rate of $359.95 per day, plus $0.92 per mile.

The problem requires creating equations to represent the total daily rental costs for each company based on the number of miles driven. The equations should look something like this:

- Let $ A(m) $ represent the total cost for Company A, and $ B(m) $ represent the total cost for Company B, where $ m $ is the number of miles driven.
  - For **Company A**: $ A(m) = 399.95 + 0.79m $
  - For **Company B**: $ B(m) = 359.95 + 0.92m $

Then, the following steps are requested:

### Part b:
You are asked to evaluate these equations for specific values of $ m $:
1. **Evaluate $ A(37) $** (the first equation when $ m = 37 $).
2. **Evaluate $ B(42) $** (the second equation when $ m = 42 $).

### Part d:
Set up a new equation to find when the cost of renting from Company A equals the cost of renting from Company B. That would involve solving $ A(m) = B(m) $.

Would you like me to evaluate these equations for you?

You are asked to create two equations representing the total rental cost from two companies, A and B, based on the number of miles driven. Company A charges $399.95 per day plus $0.79 per mile, and Company B charges $359.95 per day plus $0.92 per mile. You are also asked to evaluate the equations for m = 37 for Company A and m = 42 for Company B, and to solve for when the costs of both companies are equal.

This problem involves creating and solving linear equations to compare the daily rental costs from two companies based on the number of miles driven. Company A charges $399.95 per day with an additional $0.79 per mile, while Company B charges $359.95 per day with an additional $0.92 per mile. Learn how to set up and solve these equations for specific mileages and find when the costs are equal.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation