# 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
slope coordinates: (15,10), (30,20), (45,30), (60,40), and (75,50)
a. The slope for the bales of hay and mules is 1/2.
b. The slope for cost and square footage of carpet is unknown as the information is not provided.
c. To determine which situation has the greatest rate of change, we need more information as to what is being compared.
a. The slope for the bales of hay and mules is 1/2.
To find the slope, we can use the formula:
Slope = (Change in y-coordinate) / (Change in x-coordinate)
For the given coordinates: (2, 1), (4, 2), (6, 3), (8, 4), and (10, 5),
the change in y-coordinate is 1, 1, 1, 1, and 1, respectively,
and the change in x-coordinate is 2, 2, 2, 2, and 2, respectively.
So, the slope is (1/2).
b. The slope for cost and square footage of carpet is not provided.
c. To determine the situation with the greatest rate of change, we can compare the slopes for each situation.
For the hay/mules situation, the slope is 1/2.
For the cost/square footage of carpet situation, the slope is not provided.
Since we don't have the slope for the cost/square footage of carpet situation, we cannot determine which situation has the greatest rate of change based on the given information.
a. To find the slope for the bales of hay and mules, we can use the formula for slope: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.
Let's take the coordinates (2, 1) and (10, 5) from the given table.
m = (5 - 1) / (10 - 2) = 4 / 8 = 0.5
The slope for the bales of hay and mules is 0.5.
b. The information for cost and square footage of carpet is not provided, so we cannot find the slope for this situation.
c. To determine which situation has the greatest rate of change, we need to compare the slopes of the different scenarios. From the given options, we only have the slope for hay/mules, which is 0.5.
Therefore, the greatest rate of change among the given options is 0.5, corresponding to hay/mules.