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.