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.

# of cans collected
10
098765
1
y
Joe's Collection Rate
0 1 2 3 4 5 6 7 8 9 10
Hours
X


# 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

I can’t read the ASCII graphs clearly. Could you either upload a photo/screenshot of the two graphs or tell me two clear points from each graph (for example “Joe: (0,0) and (4,8); Matt: (0,0) and (3,9)”)?

How to match them yourself:
- Each graph appears to start at the origin, so the equation is y = m x where m is the slope (cans per hour).
- Pick two points on a graph (x1,y1) and (x2,y2). Compute slope m = (y2 − y1)/(x2 − x1).
- Match m to one of the options: 1, 2, 3 or 4 (y = x, y = 2x, y = 3x, y = 4x).

If you post two points from each graph I’ll immediately give the correct matches.