. 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 doing the most jumping jacks per minute
The person that did the most jumping jacks initially before the time started
The person showing a proportional relationship between time and # of jumping jacks
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 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.

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

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.

Bill Gates has the same y - intercept as the entry level worker
Bill Gates has the same y - intercept as the entry level worker
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Answer 1

Question 1 Responses:

1. The person doing the most jumping jacks per minute:

   • Katrina (Katrina completed 160 jumping jacks in 20 minutes, which is 8 jacks per minute. Kimberly completed 106 jacks in 16 minutes, which is approximately 6.625 jacks per minute.)

2. The person that did the most jumping jacks initially before the time started:

   • Neither (Both Kimberly and Katrina started with 0 jumping jacks before time started.)

3. The person showing a proportional relationship between time and # of jumping jacks:

   • Katrina (Katrina's data points suggest a constant rate of change, indicating a proportional relationship.)

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Question 2 Responses:

1. Function with the greatest rate of change:

   • Function B (This function's values increase more rapidly compared to Function A, where y remains relatively low.)

2. Function with the smallest y-intercept:

   • Function A (The smallest y-intercept is at y = 1 when x = 0.)

3. Which function would benefit you the most if it represented your money earned per hour?:

   • Function C: y = x + 20 (This function indicates that you earn a base of 20 plus whatever is added for each hour worked—a better earning potential.)

4. Function with the highest initial amount of money:

   • Function C: y = x + 20 (It starts at y = 20 when x = 0, which is higher than both Function A and Function B.)

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Question 3 Responses (Check all that apply):

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

   • Check

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

   • Check

3. The entry level worker has the same slope as the lawyer.

   • Do not check

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

   • Check

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

   • Do not check

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Feel free to ask for further explanations or follow-up questions!