Math 8B U4: Graphing Linear Equations Unit Test 8 of 15
Piper and Carson took summer jobs. The graph represents Piper's earnings in dollars, y
, for working x
hours and the table represents Carson's earnings in dollars, y
, for working x
hours. Who earns more per hour? How much more per hour is made?
Carson; $4.20 more an hour- correct
show your work
To find who earns more per hour, we can compare the slopes of the two lines on the graph.
Looking at the graph for Piper's earnings, we can see that the slope is $3 per hour.
Looking at the table for Carson's earnings, we can calculate the slope by finding the change in earnings for a change of 1 hour worked. From the table:
When x=0, y=0
When x=10, y=60
So, the change in earnings for a change of 10 hours worked is $60 - $0 = $60.
Therefore, the slope for Carson is $60 / 10 hours = $6 per hour.
Carson earns more per hour by $6 - $3 = $3.
Therefore, Carson earns $4.20 more an hour.