To model the scenario of Andre and Kara collecting food for the pantry, we can create a table and a graph based on an arithmetic sequence. In this case, for every person asked to donate, they receive an average of 13 items.
Let's create a table first to represent the number of people asked to donate and the corresponding number of items donated:
| Number of People Asked to Donate (x) | Number of Items Donated (y) | |---------------------------------------|------------------------------| | 0 | 0 | | 1 | 13 | | 2 | 26 | | 3 | 39 | | 4 | 52 | | 5 | 65 |
Arithmetic Sequence Explanation:
- The first term (0 people asked = 0 items received) is \(0\).
- Each subsequent term increases by \(13\) items (the average number of items donated per person).
Now let's plot the points on a graph where the x-axis represents the number of people asked to donate, and the y-axis represents the number of items donated.
Graph:
You would plot points as follows:
- (0, 0)
- (1, 13)
- (2, 26)
- (3, 39)
- (4, 52)
- (5, 65)
Y-axis Label:
The most appropriate label for the y-axis in this context is:
"number of items donated"
This label properly represents the data being collected in the graph, which is the quantity of items donated as a function of the number of people asked to donate.