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)

Question

Responses

number of people asked to donate
number of people asked to donate

number of items donated
number of items donated

food pantry
food pantry

neighborhood population

Answer 1

In this scenario, Andre and Kara are asking people to donate items for the food pantry. The number of items donated increases linearly as more people are asked to donate.

To model this situation as an arithmetic sequence, we can create a table showing the number of people asked and the corresponding number of items donated. Since they receive an average of 13 items per person, the total items donated is a multiple of the number of people asked.

Table

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

Graph

To graph this arithmetic sequence, plot the points from the table with the x-axis representing the "Number of People Asked" and the y-axis representing the "Number of Items Donated".

Most Appropriate Label for the Y-axis

Considering the context of the scenario:

• The most appropriate label for the y-axis is "number of items donated".

This label effectively communicates what the y-values represent in relation to the scenario described.

Answer 2

To show that arithmetic sequence formulas have the same structure as linear functions, choose the linear function equation that has the same structure as the arithmetic sequence an=6+(n−1)⋅8
.(1 point)
Responses

y=2x−8
y equals 2 x minus 8

y=8x+6
y equals 8 x plus 6

y=8x−2
y equals 8 x minus 2

y=6x+8

Answer 3

Use the table to answer the question.

x y
2 a
4 b
Use the arithmetic sequence formula an=−8+(n−1)⋅2
to find the missing values in the table.

(1 point)
Responses

a=−6
; b=−2
a equals negative 6 ; b equals negative 2

a=−15
; b=−13
a equals negative 15 ; b equals negative 13

a=−10
; b=−8
a equals negative 10 ; b equals negative 8

a=−12
; b=−10
a equals negative 12 ; b equals negative 10