Question

Help for 22 points??

Answer 1

Constant of proportionality: 15.

Wage earned is after working 3 hours is $45.

Explanation:

1. Find the constant of proportionality.

The constant of proportionality is the same as the slope of the graph. We need to take 2 random ordered pairs from the graph and use the slope formula to calculate this value.

Ordered pair 1: (0,0)

Ordered pair 2: (2, 30)

Slope formula:
`m=(y_(2) -y_(1) )/(x_(2) -x_(1) )`

`m=(0 -30 )/(0 -2 )\\ \\m=(-30)/(-2) \\ \\m=15`

Constant of proportionality: 15.

2. How much does Jonathan earn after working 3 hours.

As we can see from the graph, hours are expressed through the horizontal axis. If we take a look to tne value of the vertical axis when the amount of hours is 3, the wage earned is $45. Check the attached image.