Question

A local small business will donate money to the student council based on the number of carnival tickets sold. The points shown on the graph represent the model.

A graph with number of tickets sold on the x-axis and money donated on the y-axis. Points are at (10, 5), (20, 10), (30, 15), and (40, 20).

Use the graph to complete the table.

A 2-column table with 4 rows. Column 1 is labeled Tickets sold with entries 10, b, 30, 40. Column 2 is labeled Money donated with entries a, 10, c, d.

a =
b =
c =
d =

Answer 1

From the graph, the data points represent a linear relationship between the number of tickets sold and the money donated, where each set of points signifies a consistent increase.

The points provided are:
- (10, 5)
- (20, 10)
- (30, 15)
- (40, 20)

Let's extract the values based on the tickets sold:

1. For 10 tickets sold, the money donated is 5. Therefore, a = 5.
2. For the tickets sold value of b, we see that the next point on the graph is at (20, 10). Thus, b = 20.
3. For 30 tickets sold, the money donated is 15. Therefore, c = 15.
4. For 40 tickets sold, the money donated is 20. Therefore, d = 20.

Now, summarizing:

a = 5
b = 20
c = 15
d = 20

Here is the completed table:

| Tickets sold | Money donated |
|--------------|---------------|
| 10 | 5 |
| 20 | 10 |
| 30 | 15 |
| 40 | 20 |

So, the values are:
- a = 5
- b = 20
- c = 15
- d = 20