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

3

Step-by-step 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 :

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

d

step-by-step explanation:

step-by-step explanation: given equation a = h(b 1+b 2)

also we are given values of a, h and b 1 as :

a = 16, h = 4, and b 1 = 3.

in order to solve it for b 2, we need to plug the given values of   a, h and b 1 .

therefore, plugging values of   a, h and b 1   in given equation, we get

16 = 4( 3 + b 2)

first dividing both sides by 4, we get

4 = 3 + b 2

subtracting 3 from both sides, we get

4 -3 = 3 -3 + b 2

1 = b 2.