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

To model the scenario of Andre and Kara collecting donations for the food pantry, we can create an arithmetic sequence based on the number of people they ask to donate and the total number of items received from those donations.

Table:

Let \( n \) represent the number of people asked to donate. The number of items donated will be the average items donated per person (which is 13) multiplied by the number of people asked.

| Number of People Asked (n) | Number of Items Donated (y) | |-----------------------------|-----------------------------| | 0 | 0 | | 1 | 13 | | 2 | 26 | | 3 | 39 | | 4 | 52 | | 5 | 65 |

Graph:

On the graph, the x-axis would represent the number of people asked to donate (n) and the y-axis would represent the number of items donated (y).

Labels:

Considering the options you've provided, the most appropriate label for the y-axis would be:

B. number of items donated

This label clearly describes what is being measured on the y-axis, which is crucial for understanding the data represented in the graph.