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

To model the scenario where Andre and Kara collect an average of 13 items for every person they ask, we can create an arithmetic sequence. The number of items collected (y) can be represented as a function of the number of people asked (x).

Table of Values

Let's create a table for the first few values based on the information that they receive an average of 13 items per person:

| Number of People Asked (x) | Total Items Collected (y) | |-----------------------------|---------------------------| | 0 | 0 | | 1 | 13 | | 2 | 26 | | 3 | 39 | | 4 | 52 | | 5 | 65 |

Graphing the Arithmetic Sequence

You can plot the points from the table on a graph. The x-axis represents the number of people asked, and the y-axis will represent the total items collected.

Most Appropriate Label for the Y-Axis

The most appropriate label for the y-axis in this context would be "Total Items Collected" or simply "Items Collected" since you want to convey the total number of food items collected based on the number of people asked.

Summary

We have created a table to show the relationship between the number of people they ask and the total items collected. The y-axis should be labeled "Total Items Collected" to accurately represent what is being measured. The graph will represent an arithmetic sequence, which will appear as a straight line on the Cartesian plane.