# of Mules Bales of Hay
2 1
4 2
6 3
8 4
10 5
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
hay/mules
#15
# 2
#30
#15
#2
#1/2
#2/3
#10
#3/2
#cos t/sq ft
a. The slope for the bales of hay and mules is 1/2.
b. The slope for cost and square footage of carpet cannot be determined as the values are not provided.
c. The situation with the greatest rate of change is not provided.
a. The slope for the bales of hay and mules is (1/2).
b. The slope for cost and square footage of carpet is not provided.
c. The situation with the greatest rate of change can be determined by looking at the slopes. In this case, the situation with the greatest rate of change is the bales of hay and mules, with a slope of (1/2).
a. To find the slope for the bales of hay and mules, we can use the formula for slope:
slope = (change in y) / (change in x)
In this case, the y-values represent the number of bales of hay, and the x-values represent the number of mules. Looking at the data, we can see that whenever the number of mules doubles, the number of bales of hay also doubles.
For example, when there are 2 mules, there is 1 bale of hay. When there are 4 mules, there are 2 bales of hay.
So, the change in y (bales of hay) is equal to the change in x (mules). Therefore, the slope for the bales of hay and mules is 1.
b. We don't have enough information to determine the slope for cost and square footage of carpet because there is no given data or relationship between the two variables.
c. In order to determine which situation has the greatest rate of change, we can simply look at the data and compare the changes in y-values.
Looking at the data given for the bales of hay and mules, we can see that whenever the number of mules increases by 2, the number of bales of hay increases by 1.
On the other hand, there is no given data or relationship to compare the rate of change for cost and square footage of carpet.
Therefore, the situation with the greatest rate of change is the hay/mules relationship because whenever the number of mules increases by 2, the number of bales of hay increases by 1.