Question
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\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.

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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!

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