Unit 3, Lesson 5
Rational Equations (Part 1)
Integrated Math 3
Practice
Problem 1
A local office supply store charges \$18 to set up their business card printing machine with the design and \$0.15 in materials per business card to print. Select all equations that could represent an expression for the average cost \(A(x)\) of printing a batch of \(x\) business cards.
\(A(x)=\frac{18+x}{0.15}\)
\(A(x)=\frac{18+0.15x}{x}\)
\(A(x)=\frac{0.15+18x}{x}\)
\(A(x)=\frac{0.15}{18+x}\)
\(A(x)=\frac{18+0.15x}{18+x}\)
\(A(x)=\frac{18}{x}+0.15\)
Problem 2
The school band is in charge of buying a new set of uniforms made with a new logo. A local business charges \$140 to set up the logo with the design and \$0.25 in materials per logo printed. The function \(C(x)=\frac{140+0.25x}{x}\) represents the average cost per logo if \(x\) uniforms are printed by this business.
- What is the average cost per uniform to get the logo printed on 25 uniforms?
- What is the average cost per uniform to get the logo printed on 100 uniforms?
- How many uniforms should be printed to have an average cost of \$1 per logo?
- What will happen to the price as the number of uniforms printed increases?