Question
\begin{tabular}{l|l|} You're printing shirts for your te 200 min \\ Master Ink charges a flat rate of \( \$ 35 \) & 9. Write the equation that represents Master \\ and \( \$ 5 \) per shirt. Totally Tee's charges & Ink \\ \( \$ 8 \) for each shirt and a flat rate of \( \$ 20 \) & \\ \hline\end{tabular}
Ask by Hart Reid. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Master Ink's total cost is \( C = 35 + 5x \), and Totally Tee's total cost is \( C = 20 + 8x \).
Solution
It looks like you're working on a problem involving the cost structures of two different shirt printing companies: **Master Ink** and **Totally Tee's**. Let's break down the information and write the corresponding equations for each company.
### Given:
- **Master Ink**
- **Flat Rate:** \$35
- **Cost per Shirt:** \$5
- **Totally Tee's**
- **Flat Rate:** \$20
- **Cost per Shirt:** \$8
### Let:
- \( x \) = Number of shirts ordered
- \( C \) = Total cost
### Equations:
1. **Master Ink's Total Cost**
The total cost for Master Ink consists of a flat rate plus a variable cost per shirt:
\[
C = 35 + 5x
\]
- **\$35** is the flat rate.
- **\$5x** represents the cost for \( x \) shirts.
2. **Totally Tee's Total Cost**
Similarly, the total cost for Totally Tee's is a flat rate plus a variable cost per shirt:
\[
C = 20 + 8x
\]
- **\$20** is the flat rate.
- **\$8x** represents the cost for \( x \) shirts.
### Summary:
- **Master Ink:** \( C = 35 + 5x \)
- **Totally Tee's:** \( C = 20 + 8x \)
These equations allow you to calculate the total cost based on the number of shirts you intend to print.
Reviewed and approved by the UpStudy tutoring team
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Mind Expander
To determine the cost to print shirts with Master Ink, you can represent the total cost using the equation \( C_M = 35 + 5x \), where \( x \) denotes the number of shirts. For Totally Tee’s, the cost is given by the equation \( C_T = 20 + 8x \). To compare the two options, you can set these equations equal to each other: \( 35 + 5x = 20 + 8x \) and solve for \( x \) to find how many shirts make both options equal in price. Happy shirt printing!