Question

The graph shows Manuela's earnings for the number of hours she spends tutoring.

Use the graph to answer problems 4 and 5.
How much does Manuela earn for each hour of tutoring? Explain.
Earnings ($)
100
90
80
70
60
50
40
30
20
10
0
4 6 8 10 12 14 16 18 20
Hour U

Answer 1

To determine how much Manuela earns for each hour of tutoring based on the given graph, we need to look at the slope of the line. The slope represents the change in earnings for each change in hours.

From the graph, we can see that when Manuela tutors for 2 hours, she earns $20, and when she tutors for 10 hours, she earns $80. So the change in earnings is $80 - $20 = $60.

Similarly, the change in hours is 10 - 2 = 8.

Therefore, the slope of the line (representing Manuela's hourly earnings) is:

slope = change in earnings / change in hours

slope = $60 / 8

slope = $7.50/hour

Therefore, Manuela earns $7.50 for each hour of tutoring.