Linear Functions and Equ Select the correct answer. The graph shows the number of books, y Melissa read during the weeks of summer break,x She also read several books during the school year. Weeks of Summer Bre Determine the equation that can be used to represent this situation. y=3x y=x+5 y=3x+15 y=x+15

To determine the correct equation that represents the situation, we need to analyze the graph and understand the relationship between the number of books read (y) and the weeks of summer break (x).

Let's assume the graph shows a linear relationship. We can use the given options to find the best fit.

1. **Option 1: $y = 3x$**
- This equation suggests that Melissa reads 3 books per week during the summer break.
- If there is no initial number of books read before the summer break, this could be a possibility.

2. **Option 2: $y = x + 5$**
- This equation suggests that the number of books read increases by 1 book per week, starting from an initial count of 5 books.
- This implies she had already read 5 books before the summer break started.

3. **Option 3: $y = 3x + 15$**
- This equation suggests that Melissa reads 3 books per week during the summer break, starting from an initial count of 15 books.
- This implies she had already read 15 books before the summer break started.

4. **Option 4: $y = x + 15$**
- This equation suggests that the number of books read increases by 1 book per week, starting from an initial count of 15 books.
- This implies she had already read 15 books before the summer break started.

To choose the correct equation, consider the following:
- If the graph starts at a point where $y$ is greater than zero when $x = 0$, it indicates that Melissa had already read some books before the summer break.
- The slope of the line (rate of increase in the number of books read per week) should match the pattern shown in the graph.

Given the options, if the graph shows that Melissa reads 3 books per week and had already read 15 books before the summer break, then:

**The correct equation is: $y = 3x + 15$**

This equation accurately represents the situation where Melissa reads 3 books per week during the summer break and had already read 15 books during the school year.