Arithmetic Sequences Quick Check

Question

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Question
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?(1 point)
Responses

neighborhood population
neighborhood population

food pantry
food pantry

number of items donated
number of items donated

number of people asked to donate
number of people asked to donate
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Answer 1

In the scenario described, Andre and Kara are collecting food items based on the number of people they ask to donate. Since they receive an average of 13 items for each person asked, the relationship between the number of people asked and the number of items donated can be represented as an arithmetic sequence.

Let's break this down for your table and graph:

1. Independent Variable (x-axis): This would be the number of people asked to donate.
2. Dependent Variable (y-axis): This would be the number of items donated based on the number of people asked.

Given the options, the most appropriate label for the y-axis is:

• number of items donated

This reflects the outcome (items) based on the number of people they reach out to.

Sample Table

Here’s a sample table you could create based on the information given:

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

Graph

When graphing, you would plot the number of people asked on the x-axis and the corresponding number of items donated on the y-axis. The points would create a straight line, which indicates a linear relationship typical of an arithmetic sequence.

In summary, label the y-axis as "number of items donated" for a clear understanding of the relationship.