Math Problem Statement
Solution
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:
- Company A charges a base rate of $399.95 per day, plus $0.79 per mile.
- 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 represent the total cost for Company A, and represent the total cost for Company B, where is the number of miles driven.
- For Company A:
- For Company B:
Then, the following steps are requested:
Part b:
You are asked to evaluate these equations for specific values of :
- Evaluate (the first equation when ).
- Evaluate (the second equation when ).
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 .
Would you like me to evaluate these equations for you?
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Algebra
Formulas
A(m) = 399.95 + 0.79m (Cost for Company A)
B(m) = 359.95 + 0.92m (Cost for Company B)
Theorems
Linear Equation Solving
Suitable Grade Level
Grades 9-11
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