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Chapter 2: Problem 123

Solve using a graphing calculator. Gert's Shirts charges \(\$ 38\) plus \(\$ 4.25\) per shirt to print tee shirts for a day camp. Camp Weehawken paid Gert's \(\$ 671.25\) for shirts. How many shirts were printed?

Short Answer

Expert verified
149 shirts

Step by step solution

01

- Identify the equation

First, write the cost equation. Let the number of shirts be denoted by , then the total cost (C) can be given by:\[ C = 38 + 4.25n \]
02

- Set up the equation with provided values

Substitute the total amount paid by Camp Weehawken ( C = 671.25dollars) into the equation:\[ 671.25 = 38 + 4.25n \]
03

- Isolate the variable

Subtract 38 from both sides of the equation to isolate the term with :\[ 671.25 - 38 = 4.25n \]\[ 633.25 = 4.25n \]
04

- Solve for the number of shirts

Divide both sides of the equation by 4.25 to solve for the number of shirts :\[ n = \frac{633.25}{4.25} \]\[ n = 149 \]
05

- Verify the solution using a graphing calculator

Input the equation \( C = 38 + 4.25n \) and check if \( n = 149 \) satisfies the equation when \( C = 671.25 \).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

cost equation
In many real-world problems, you will encounter costs that are broken down into fixed and variable parts. The cost equation is a mathematical representation of these costs. For Gert's Shirts, the cost equation is given by \( C = 38 + 4.25n \). In this equation:
  • \

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