Question

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

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

What is the constant of proportionality?

3
one-third
2
one-half

Answer 1

the answer is not one third i think its 3

Answer 2

Answer: 3

Explanation:

Given : x and y are two quantities.

The graph shows the amount of money paid when purchasing bags of caramel corn at the zoo represented by a line.

Two points through which graph is passing : (0,0) and (1,3)

Slope of graph :
`(y_2-y_1)/(x_2-x_1)`

`=(3-0)/(1-0)=3`

If a directly proportional relationship is represented by a line on a the graph, then the constant of proportionality is the slope of the line.

i.e. The constant of proportionality =3