https://file.aiquickdraw.com/mathbot/file/1729802661136oosxxs5g.jpg

Let's analyze each problem and write the required equations.

**Problem 10:**
- Cameron has a fixed cost of $500 for printing the calendars.
- Each calendar costs $2.50 to print.

This follows the form of a linear equation, $ y = mx + b $, where:
- $ m $ is the cost per calendar ($2.50),
- $ b $ is the fixed cost ($500),
- $ x $ is the number of calendars, and
- $ y $ is the total cost.

Thus, the equation is:
\[
y = 2.50x + 500
\]

**Problem 11:**
- The taxi has a flat fee of $3.00.
- It charges $0.75 per mile.

This also follows the linear form $ y = mx + b $, where:
- $ m $ is the cost per mile ($0.75),
- $ b $ is the flat fee ($3.00),
- $ x $ is the number of miles, and
- $ y $ is the total cost.

The equation is:
\[
y = 0.75x + 3
\]

Would you like a deeper explanation on either of these, or any related questions?

### 5 Related Questions:
1. How do you determine the slope in a real-world problem?
2. Can the fixed cost in a linear equation be negative?
3. What is the meaning of the y-intercept in these types of problems?
4. How would you graph the equations for each scenario?
5. How does the total cost change as you increase the number of calendars or miles?

**Tip:** In word problems, the slope typically represents a rate of change, while the y-intercept often represents a starting or fixed amount.

Cameron is designing a calendar for a fund-raising project. The cost of printing is $500 plus $2.50 per calendar. Write an equation in slope-intercept form that models the total cost. When visiting Baltimore, MD, you need a taxi that charges a flat fee of $3.00 and $0.75 per mile. Write an equation in slope-intercept form that models the situation.

Learn how to write and understand linear equations in slope-intercept form by modeling the total cost of printing calendars ($500 fixed cost and $2.50 per calendar) and calculating a taxi fare ($3.00 flat fee and $0.75 per mile).

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