Question

Identify and write the coordinates for points on a line shown in this table. Does the data in the table demonstrates a proportional relationship. Draw and label a graph to prove your answer.
Answer:
x y
10 2
15 3
40 8
Describe as a 7th grader short enough to fit in a small text box.

Answer 1

can you shorten it more

Answer 2

**Coordinates from the table:**
- (10, 2)
- (15, 3)
- (40, 8)

**Proportional Relationship:**
To check if the data is proportional, we look for a constant ratio (y/x).

- For (10, 2): 2/10 = 0.2
- For (15, 3): 3/15 = 0.2
- For (40, 8): 8/40 = 0.2

Since all the ratios are the same (0.2), the data shows a proportional relationship.

**Graph:**
[Draw a graph with the x-axis labeled from 0 to 50 and the y-axis labeled from 0 to 10. Plot the points (10, 2), (15, 3), and (40, 8). Draw a straight line through the points to show they all lie on the same line.]

Label:
- Point A: (10, 2)
- Point B: (15, 3)
- Point C: (40, 8)

The graph shows a straight line, confirming that the data is proportional!

Answer 3

**Coordinates:**
- (10, 2)
- (15, 3)
- (40, 8)

**Proportional Relationship:**
All ratios (y/x) are 0.2, so the data is proportional.

**Graph:**
[Plot the points on a graph, showing a straight line through (10, 2), (15, 3), and (40, 8).]

The straight line confirms a proportional relationship!