https://file.aiquickdraw.com/mathbot/file/1726513507918tvapd3xh.jpg

Let's go through the problem shown in the image:

The problem asks you to deal with two aspects:
1. **Cost and Revenue** expressions.
2. **Graphing** the corresponding lines.

### Part A: Expressions for Cost and Revenue

- **Cost**:
  - The cost to print a folder includes a setup fee of **$60** and a per-folder cost of **$5**.
  - If we let $ x $ represent the number of folders, the total cost is the sum of the setup fee and the cost per folder.
  - The formula for the cost is:
    \[
    \text{Cost} = 60 + 5x
    \]

- **Revenue**:
  - You plan to sell each folder for **$10**.
  - The revenue depends on how many folders you sell, which is represented by $ x $.
  - The formula for revenue is:
    \[
    \text{Revenue} = 10x
    \]

### Part B: Graphing the Two Lines

You need to graph the two lines for the cost and revenue on the provided grid. Let's outline the steps for graphing these lines:

1. **Cost Line**: Plot the line $ y = 60 + 5x $.
   - Start by identifying points for this line.
     - When $ x = 0 $, $ y = 60 $.
     - When $ x = 10 $, $ y = 60 + 5(10) = 110 $.
     - When $ x = 20 $, $ y = 60 + 5(20) = 160 $.
   - Plot these points and connect them to form a line.

2. **Revenue Line**: Plot the line $ y = 10x $.
   - Start by identifying points for this line.
     - When $ x = 0 $, $ y = 0 $.
     - When $ x = 10 $, $ y = 10(10) = 100 $.
     - When $ x = 20 $, $ y = 10(20) = 200 $.
   - Plot these points and connect them to form another line.

Now that you have the expressions and points for graphing, you can plot the lines on the grid and see where they intersect, which would give you the break-even point (where cost equals revenue).

Would you like any further explanation or help with graphing?

Here are 5 follow-up questions based on this topic:
1. How do you find the break-even point from the graph?
2. What happens to profit if you produce more folders beyond the break-even point?
3. How would the cost formula change if the setup fee increased?
4. How would the revenue formula change if the price per folder dropped?
5. What is the significance of the slope in both the cost and revenue equations?

**Tip:** When graphing linear equations, always ensure that you calculate and plot at least two points to draw the correct line!

The cost to print a folder for a conference is $60 for the printing setup fee and $5 per folder. You plan to sell them for $10 each. A) Write an expression for the cost and revenue if you produce and sell x folders. B) Graph the two lines below.

Learn how to calculate the cost and revenue of printing and selling folders using linear equations. Understand the formulas Cost = 60 + 5x and Revenue = 10x and graph the lines to find the break-even point. Suitable for Grades 8-10.

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