Select all the correct answers.
The equation r = 6t gives the number of albums released, r, by a record label over time in years, t. If you graph this relationship with time along the x-axis and the number of albums along the y-axis, which points lie on the resulting line?
 (7, 44)
 (8, 48)
 (9, 52)
 (12, 74)
 (13, 78)

To determine which points lie on the line represented by the equation \( r = 6t \), we need to check if each point \((t, r)\) satisfies this equation.

### Checking each point:

1. **Point (7, 44)**:
   \[
   r = 6 \times 7 = 42 \quad (\text{not } 44)
   \]
   This point does not lie on the line.

2. **Point (8, 48)**:
   \[
   r = 6 \times 8 = 48
   \]
   This point lies on the line.

3. **Point (9, 52)**:
   \[
   r = 6 \times 9 = 54 \quad (\text{not } 52)
   \]
   This point does not lie on the line.

4. **Point (12, 74)**:
   \[
   r = 6 \times 12 = 72 \quad (\text{not } 74)
   \]
   This point does not lie on the line.

5. **Point (13, 78)**:
   \[
   r = 6 \times 13 = 78
   \]
   This point lies on the line.

### Correct Points:

- (8, 48)
- (13, 78)

Therefore, the correct answers are:

- (8, 48)
- (13, 78)

Do you want details or have any questions?

Here are 5 questions you can ask next:
1. How do you verify if a point lies on a given line equation?
2. What does the slope of the line represent in this context?
3. How do you interpret the y-intercept in the context of this problem?
4. Can you provide another example of a linear relationship in the music industry?
5. How can you graph a linear equation given a set of points?

**Tip:** Always substitute the x-value into the equation to see if the corresponding y-value matches to verify if a point lies on a line.

Explore the linear relationship between time and album releases represented by the equation r = 6t. Learn how to graph this relationship and identify points that lie on the line. Suitable for students in Grades 7-9.

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