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

Answer 1

In this scenario, we can model the arithmetic sequence where the number of items received increases as they ask more people for donations. Each time they ask one more person, they receive an additional 13 items.

Here's how we can set up the table and the graph:

Table

| Number of People Asked (n) | Total Items Collected (y) | |-----------------------------|----------------------------| | 0 | 0 | | 1 | 13 | | 2 | 26 | | 3 | 39 | | 4 | 52 | | 5 | 65 | | 6 | 78 | | 7 | 91 | | 8 | 104 | | 9 | 117 | | 10 | 130 |

Explanation:

• The first column represents the number of people they ask (n).
• The second column represents the total items collected, which is calculated as \(y = 13n\) (where 13 is the average items received from each person).

Graph

To create a graph based on this table, plot the points (n, y). The x-axis will represent the number of people asked (n), and the y-axis will represent the total items collected (y). The points will form a straight line since it's a linear relationship.

Y-Axis Label

The most appropriate label for the y-axis would be "Total Items Collected" since it indicates the total number of food items that Andre and Kara collect as they ask individuals for donations.

With the table and the graph, you can visualize the arithmetic sequence effectively.