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.

Question

What would be the most appropriate label for the y-axis?

A. food pantry
B. number of items donated
C. neighborhood population
D. number of people asked to donate

Answer 1

In this scenario, we can model the arithmetic sequence where the number of items donated increases as more people are asked to donate. Since they receive an average of 13 items from each person, we can create a table to show the relationship between the number of people asked to donate and the total items donated.

Table of Data

| Number of People Asked to Donate | Total Items Donated | |----------------------------------|---------------------| | 0 | 0 | | 1 | 13 | | 2 | 26 | | 3 | 39 | | 4 | 52 | | 5 | 65 | | 6 | 78 | | 7 | 91 | | 8 | 104 | | 9 | 117 | | 10 | 130 |

Explanation:

• The column "Number of People Asked to Donate" increases by 1 (this is the independent variable).
• The "Total Items Donated" increases by 13 for each additional person asked, illustrating the arithmetic sequence.

Graph:

• On the graph, the x-axis would represent the "Number of People Asked to Donate," while the y-axis would represent the "Total Items Donated."

Appropriate Label for the Y-Axis:

Given the data, the most appropriate label for the y-axis would be:

B. number of items donated

This choice accurately reflects what is being measured in that axis, while the x-axis represents the number of people asked to donate.