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

Answer 1

In the scenario where Andre and Kara collect food for the food pantry and receive an average of 13 items from each person they ask, we can create a table to represent the arithmetic sequence.

Let’s define the variables:
- Let \( x \) be the number of people Andre and Kara ask to donate.
- Let \( y \) be the total number of items donated.

Since every person they ask donates an average of 13 items, the relationship can be expressed as:
\[ y = 13x \]

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

### Graph Representation
To graph this, you would plot points based on the table values where the x-axis represents the number of people asked (x) and the y-axis represents the number of items donated (y).

### Appropriate Label for the y-Axis
Among the options provided:
A. food pantry
B. neighborhood population
C. number of people asked to donate
D. number of items donated

The most appropriate label for the y-axis, which represents the total number of items donated, would be:
**D. number of items donated**.