Question

Find the rate of change for the linear function represented in the table
Hours worked 1 2 3 4
Money Earned ($) 5.50 11.00 16.50 22.00

Please help I am confused

Answer 1

Do you know how to find the slope of a line?

Answer 2

no it confuses me sorry

Answer 3

ok well rate of change is just another name for slope. Before we do that we need to use the table to choose points.

Answer 4

The hours worked is x.
money earned is y

Answer 5

For example (1, 5,5) is one point of the function. Can you use the table to pick out another?

Answer 6

So sorry my computer locked up for a min I had to reboot it all. 2, 11,0

Answer 7

np

Answer 8

This is the slope equation
\[m=\frac{ y _{2}-y _{1} }{ x _{2}-x _{1}}\]
We're going to use the points (1, 5.5) and (2, 11) to find the slope

Answer 9

If point 1 is (1, 5.5) and point 2 is (2, 11) we can fill in the values like this
\[m = \frac{ 11-5.5 }{ 2-1 }\]

Answer 10

Does that make sense?

Answer 11

yes

Answer 12

So how would you simplify that?

Answer 13

5.5/1

Answer 14

right, and that's just 5.5.
rate of change = 5.5

Answer 15

Thank you very much for your help. I appreciate it very much