To model the scenario where Andre and Kara collect 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 number of items they receive.
Table: Number of People Asked vs. Number of Items Donated
| Number of People Asked (x) | Number of Items Donated (y) | |-----------------------------|------------------------------| | 0 | 0 | | 1 | 13 | | 2 | 26 | | 3 | 39 | | 4 | 52 | | 5 | 65 | | ... | ... |
In this table, for every person they ask (x), they receive an average of 13 items (y) in total. Therefore, the relationship can be described by the equation: \[ y = 13x \]
Graph
On a graph:
- The x-axis will represent the number of people asked to donate.
- The y-axis will represent the number of items donated.
Y-Axis Label
The most appropriate label for the y-axis is "number of items donated."
This effectively conveys what the y-axis represents and maintains clarity in the context of this scenario.