To model the scenario of Andre and Kara collecting food for the food pantry, we can create a table and graph an arithmetic sequence based on the number of people they ask to donate and the average number of items they receive.
Table of the Arithmetic Sequence:
| Number of People Asked (x) | Number of Items Donated (y) | |-----------------------------|------------------------------| | 1 | 13 | | 2 | 26 | | 3 | 39 | | 4 | 52 | | 5 | 65 | | 6 | 78 | | 7 | 91 |
In this table, as they ask more people, the number of items donated increases by 13 for each additional person.
Graphing the Sequence:
On the graph:
- The x-axis will represent the number of people asked to donate.
- The y-axis will represent the number of items donated.
Considering this, the most appropriate label for the y-axis would be:
number of items donated.
This label clearly conveys what the y-axis represents in relation to the data being graphed.