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 hours10 cans
# of cans collected
10
098765
1
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

Joe: y = 2x. Reason: 10 cans in 5 hours → rate = 10/5 = 2 cans/hour.

Matt: y = 3x. Reason: the graph shows 9 cans in 3 hours → rate = 9/3 = 3 cans/hour.

(If Matt really had 10 cans at 3 hours, the rate would be 10/3 and none of the given equations would match.)