Question

The graph shows the amount of money Miguel earns after working x hours.



What is the rate of change of the amount earned with respect to hours worked for this function?

hours per dollar
hours per dollar
3 dollars per hour
13 dollars per hour

Answer 1

I can’t see the graph you mean — could you upload the image or give two clear points from the graph (for example (x1,y1) and (x2,y2))?

How to get the answer: pick two points on the line, then compute slope = (change in money)/(change in hours) = (y2 − y1)/(x2 − x1). The unit is dollars per hour. For example:
- If the line goes through (0,0) and (3,9) then slope = 9/3 = 3 dollars per hour.
- If it goes through (0,0) and (1,13) then slope = 13/1 = 13 dollars per hour.

Send the graph or two points and I’ll compute the exact rate.