graph.

Question

The table below represents a proportional relationship between drops of food coloring, c, and egg yolks, y, for a recipe for paint.

Drops of Food Coloring (c) Egg Yolks (y)
12
5
28 7
8

Find the missing values in the table. Then, on the graph, plot the four ordered pairs from the table.

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Answer 1

To find the missing values in the table, we can first determine the constant of proportionality.

Using the first row of data, we have:
c = k * y
12 = k * 5
k = 12/5 = 2.4

Now that we have the constant of proportionality, we can find the missing value in the second row:
28 = 2.4 * 7
y = 28/2.4 = 11.67

For the third row, we can substitute the value of c:
8 = 2.4 * y
y = 8/2.4 = 3.33

So the complete table is:

Drops of Food Coloring (c) Egg Yolks (y)
12 5
28 11.67
8 3.33

Now, we can plot the ordered pairs on the graph:
(12, 5)
(28, 11.67)
(8, 3.33)