Andre and kara are collecting food for the food pantry and their neighborhood for every person they ask to donate they receive an average of 13 items create a table and graph in Arithmetic sequence to model this scenario what would be the most appropriate label for the y axis

3 answers

To model the scenario of Andre and Kara collecting food for the food pantry in an arithmetic sequence, let's first create a table and then construct a graph.

Table

Let \( n \) represent the number of people asked for donations, and since they receive an average of 13 items for each person, the number of items collected can be modeled with the formula:

\[ \text{Items} = 13n \]

Here's the table showing values for various numbers of people asked:

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

Graph

To create a graph, plot the values of \( n \) on the x-axis and the corresponding \( y \) values (items collected) on the y-axis.

  • X-axis: Number of People Asked (n)
  • Y-axis: Total Items Collected (y)

Y-axis Label

The most appropriate label for the y-axis in this scenario would be "Total Items Collected" since it clearly indicates what quantity is being measured as a function of the number of people asked.

In summary, the table provides a clear arithmetic sequence with a common difference of 13, reflecting the consistent increase in total items collected as more people are asked for donations.

All right I can't put that so out of the 4 options I can give you which would be the best. Number of items donated, Number of people asked to donate, Neighborhood population, or food pantry

Given the options you provided, the best label for the y-axis would be "Number of items donated."

This label accurately represents the quantities being plotted on that axis, as it reflects the total number of items collected based on the number of people asked to donate. The other options do not directly correspond to the data being represented in the context of the graph you are creating.