Question

The graph shows the amount of money paid when purchasing bags of candy at the zoo:

A graph is shown. The x-axis is labeled from 0 to 9 and the y-axis is labeled from 0 to 10. The four points shown on the graph are ordered pairs 0, 0 and 1, 2 and 2, 4 and 3, 6. These points are joined by a line. The label on the x-axis is Bags of candy. The title on the y-axis is Total cost in dollars.

What is the constant of proportionality?

Group of answer choices

one-half

three-fourths

1

2

Answer 1

The constant of proportionality represents the relationship between the x-values and the y-values on the graph. In this case, we can determine the constant of proportionality by finding the ratio of the y-values to the corresponding x-values.

Let's take the first two points on the graph: (0, 0) and (1, 2). The change in y-value is 2 - 0 = 2, and the change in x-value is 1 - 0 = 1.

The ratio of the change in y to the change in x is 2/1 = 2.

Therefore, the constant of proportionality is 2.

So, the correct answer is 2.