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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 :

First, let's look at the points on the graph and find the pattern. The points given are (10, 5), (20, 10), (30, 15), and (40, 20).

Now, we need to calculate the relationship between the number of tickets sold (x-axis) and the money donated (y-axis).

To find the pattern, let's see the difference between consecutive x-values and y-values:

Difference in x: 20 - 10 = 10; 30 - 20 = 10; 40 - 30 = 10 Difference in y: 10 - 5 = 5; 15 - 10 = 5; 20 - 15 = 5

It seems like for every 10 tickets sold, $5 is donated.

Let's use this pattern to complete the table.

Tickets sold: 10, b, 30, 40 Money donated: a, 10, c, d

Now, applying the pattern, we can fill in the table:

a = 5 (since for 10 tickets sold, $5 is donated) b = 20 (10 + 10 = 20, as 20 tickets are sold) c = 15 (10 + 5 = 15, as 30 tickets are sold) d = 20 (10 + 10 = 20, as 40 tickets are sold)

So, the completed table is as follows:

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

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