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
Mark this and return

Answer 1

I can’t see the graph you mention. To find the rate of change you need the slope: pick two points on the graph (x1, y1) and (x2, y2) and compute

slope = (change in money) / (change in hours) = (y2 − y1) / (x2 − x1),

with units dollars per hour (not hours per dollar). If the graph goes through, for example, (0,0) and (4,12) the slope is 12/4 = 3 dollars per hour; if it goes through (0,0) and (3,39) the slope is 39/3 = 13 dollars per hour.

Upload or describe two clear points from the graph and I’ll compute the exact answer and mark the correct choice.