2. Given the table for x, lawns mowed and y, money earned:

Question

x - # of lawns 7 6 2 9 3
y - $ earned 294 252 84 378 126


(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.
a. Every lawn mowed is Response area dollars earned.

b. Dollars/1 lawn mowed is called a Response area

c. This relationship is Response area because Response area tickets sold is $0 earned.

Question 2
3. Given the table for x, time in minutes and y, distance traveled in meters:

x - time (minutes) 8 5 7 2 9
y - distance (meters) 40 25 35 10 45


(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.
a. Every minute Response area meters are traveled.

b. Write an equation to show the relationship between x and y. Response area

c. The relationship is Response area because the y-intercept is Response area

Question 3
4.

Use the graph to match the responses.

(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 y-intercept
An equation that represents this graph.
The constant of proportionality
Question 4
5.

The equation of this graph is y = 23x − 4
What transformation would need to happen for the equation of the line to be y = 23x ?

(1 point)
Responses

Shift the graph right 3, down 2
Shift the graph right 3, down 2

Shift the graph left 4
Shift the graph left 4

Shift the graph down 3 and left 2
Shift the graph down 3 and left 2

Shift the graph up 4
Shift the graph up 4
Question 5
6. A cab company charges $8 per mile for a lift to the airport.

What change would the company make to their charges to make this a non proportional situation?

(1 point)
Responses

Charge $12 per mile instead of $8
Charge $12 per mile instead of $8

No changes are needed
No changes are needed

Charge $4 per mile instead of $8
Charge $4 per mile instead of $8

Charge a flat rate of $10 and then $8 per mile
Charge a flat rate of $10 and then $8 per mile
Question 6
7. One business charges $12 per t-shirt custom made.

Another business charges $11 per t-shirt plus a $20 set up fee for custom made.

If you were to graph both of these scenarios on the coordinate plane, the first graph would be proportional and the second non proportional.

How would you transform the first graph to make it become a non proportional graph with the same y-intercept as the second graph?

(1 point)
Responses

Right 1
Right 1

Up 1
Up 1

Left 1
Left 1

Left 20
Left 20

Up 20
Up 20

Right 20

Answer 1

Here are the responses for each question based on the provided information:

Question 1:

a. Every lawn mowed is $42 dollars earned.

b. Dollars/1 lawn mowed is called a constant of proportionality.

c. This relationship is proportional because the money earned is $0 when no lawns are mowed.

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Question 2:

a. Every minute 5 meters are traveled.

b. Write an equation to show the relationship between x and y: y = 5x.

c. The relationship is proportional because the y-intercept is 0.

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Question 3:

For this question, you will need to refer to the graph provided in your materials to determine the inputs for the responses such as the y-intercept, the equation, and the constant of proportionality. However, I can't provide responses without seeing the graph.

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Question 4:

What transformation would need to happen for the equation of the line to be y = 23x?

Shift the graph up 4.

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Question 5:

What change would the company make to their charges to make this a non-proportional situation?

Charge a flat rate of $10 and then $8 per mile.

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Question 6:

How would you transform the first graph to make it become a non-proportional graph with the same y-intercept as the second graph?

Up 20.

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If you have any specific values from the graph that need responses, please provide those values, and I can help fill them in!