Use the figures below to help answer the questions.

(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.
a. The slope for the bales of hay and mules is Response area

b. The slope for cost and square footage of carpet is Response area

c. Which situation has the greatest rate of change? Response area

1 over 2
hay over mule
15
2
cos t over sq ft
2 over 3
10
5
2
30
3 over 2

1 answer

To answer the questions provided, let's analyze the responses step by step.

a. The slope for the bales of hay and mules is

The slope for hay over mule can be understood as the ratio of bales of hay to mules. If we assign the most logical numerical values provided, the response would likely be:

Response: hay over mule (1 over 2)

b. The slope for cost and square footage of carpet is

The slope is typically understood as the change in cost per square foot. Looking through the options, the most logical response for cost over square footage of carpet is:

Response: cos t over sq ft (2 over 3)

c. Which situation has the greatest rate of change?

To determine which situation has the greatest rate of change, we should look at the slopes denoted above. Considering the numbers:

  • For bales of hay over mules: 1/2 = 0.5
  • For cost over square footage of carpet: 2/3 ≈ 0.67

It appears that the greatest rate of change among the options given would be the value of 2/3.

Response: 2 over 3

Final Responses Recap:

  • a: 1 over 2
  • b: 2 over 3
  • c: 2 over 3

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