8. The tables below show the number of jumping jacks completed after a given period of time in minutes.

Question

Kimberly

Time (min) # Jumping Jacks
3 28
8 58
12 82
16 106
Katrina

Time (min) # Jumping Jacks
2 16
5 40
12 96
20 160


(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
The person showing a proportional relationship between time and # of jumping jacks
The person that did the most jumping jacks initially before the time started
The person doing the most jumping jacks per minute
Question 2
9. Match the description with the correct Function.

Function A:

Function B:

x y
0 1
4 9
8 17


Function C: y=x+20


(4 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Function with the greatest rate of change
Function with the smallest y-intercept
Which function would benefit you the most if it represented your money earned per hour?
Function with the highest initial amount of money
Question 3
10.

According to the graph, which of these statements is/are true? Check all that apply.

(2 points)
Responses

The plumber initially earns more money than the lawyer, but the lawyer earns more as more hours are worked.
The plumber initially earns more money than the lawyer, but the lawyer earns more as more hours are worked.

The lawyer has a greater initial amount of earnings than the plumber.
The lawyer has a greater initial amount of earnings than the plumber.

The plumber has a steeper rate of change than the entry level worker.
The plumber has a steeper rate of change than the entry level worker.

Bill Gates has the same y - intercept as the entry level worker
Bill Gates has the same y - intercept as the entry level worker

The entry level worker has the same slope as the lawyer.
The entry level worker has the same slope as the lawyer.
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Answer 1

Question 1:

1. The person showing a proportional relationship between time and # of jumping jacks: Katrina
2. The person that did the most jumping jacks initially before the time started: Katrina (16 jumping jacks at 2 minutes vs. Kimberly's 28 jumping jacks at 3 minutes, but we consider the starting position in their first time entry.)
3. The person doing the most jumping jacks per minute: Katrina (Katrina's rate is higher: for example, from 12 to 20 minutes, she completes 64 jumping jacks, while Kimberly completes only 24 in the same time span.)

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Question 2:

1. Function with the greatest rate of change: Function B
2. Function with the smallest y-intercept: Function A (y-intercept is 1)
3. Which function would benefit you the most if it represented your money earned per hour?: Function C (y = x + 20 indicates a consistent earning amount added per hour)
4. Function with the highest initial amount of money: Function C (Starts at $20 when x=0)

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Question 3:

• The plumber initially earns more money than the lawyer, but the lawyer earns more as more hours are worked. (True)
• The lawyer has a greater initial amount of earnings than the plumber. (False) (Assuming the plumber has a higher starting wage based on the context.)
• The plumber has a steeper rate of change than the entry level worker. (True)
• Bill Gates has the same y-intercept as the entry level worker. (False)
• The entry level worker has the same slope as the lawyer. (False)

You can check all that apply based on the selected statements.