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.(2 points)
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Answer 1

I don’t have the graphs or the list of equation choices. Please either

- upload an image of the two graphs, or
- paste the equations you are choosing from,

and I’ll match each graph to its equation.

If you want to try it yourself first, here are quick steps to match a graph to an equation y = mx + b:

1. Find the y-intercept (point where the line crosses the y-axis). That gives b (the number of cans at time 0).
2. Pick two clear points on the line, (x1,y1) and (x2,y2). Compute the slope m = (y2 − y1)/(x2 − x1). m is cans per unit time.
3. Form the equation y = m x + b and match it to the choices.

Example: if the line crosses the y-axis at 2 and goes through (2,12), slope = (12−2)/(2−0) = 5 so equation is y = 5x + 2.

Send the graphs or the option list and I’ll match them.