Question

Andre and Kara are collecting food for the food pantry in their neighborhood. For every person they ask to donate, they receive an average of 13 items. Create a table and graph an arithmetic sequence to model this scenario. What would be the most appropriate label for the y-axis?

Answer 1

Let n = number of people asked. Let A(n) = total items collected.

Formula: A(n) = 13n (common difference 13).

Table (n vs A(n)):
- n = 0 → A = 0
- n = 1 → A = 13
- n = 2 → A = 26
- n = 3 → A = 39
- n = 4 → A = 52
- n = 5 → A = 65

Graphing: plot the points (0,0), (1,13), (2,26), (3,39), (4,52), (5,65) and draw a straight line through them (line with slope 13 passing through the origin).

Most appropriate y-axis label: "Total number of items collected" (or simply "Number of items collected"). The x-axis label: "Number of people asked."