Question

Joe and Matt are volunteering to collect canned goods for the local food bank. They each recorded the total number of cans collected and their time spent volunteering on graphs. Match the correct equation that represents each of their graphs.

the first graph goes from 0 to 5 hours 10 can\
# of cans collected
10
9
8
7
6
5
1
0
y
Joe's Collection Rate
0 1 2 3 4 5 6 7 8 9 10
Hours
X

The second goes from 0 to 3 hours 10 cans
# of cans collected
10
9
Matt's Collection Rate
87654+ 3
2
0 1 2 3 4 5 6 7 8 9 10
Hours
X

y=3x
y=x
y=4x
y=2x

Answer 1

Find the slope (cans per hour) from each graph (rise/run).

- Joe: 10 cans in 5 hours → rate = 10/5 = 2 cans/hour → y = 2x.
- Matt: 9 cans in 3 hours → rate = 9/3 = 3 cans/hour → y = 3x.

So Joe: y = 2x. Matt: y = 3x.