unit 3 lesson 5 slope as unit rate quick check cost per ounce
the graph displays the cost per cost per ounce of canned peas. use the graph to determine the unit rate of the proportional relationship.
(0,0), (8,0.75), (15,1.50), (30,3.00)
canned peas cost$10 per ounce
canned peas cost $0.10 per ounce
canned peas cost $3.00 per ounce
canned peas cost $30 per ounce
To determine the unit rate, we need to find how much the cost per ounce changes for each increase in ounce.
Using the given points:
Between (0,0) and (8,0.75), the cost per ounce increased from $0 to $0.75 for an increase of 8 ounces.
Therefore, the cost per ounce is $0.75/8 = $0.09375 per ounce.
Between (8,0.75) and (15,1.50), the cost per ounce increased from $0.75 to $1.50 for an increase of 7 ounces.
Therefore, the cost per ounce is $0.75/7 = $0.10714 per ounce.
Between (15,1.50) and (30,3.00), the cost per ounce increased from $1.50 to $3.00 for an increase of 15 ounces.
Therefore, the cost per ounce is $1.50/15 = $ 0.10 per ounce.
From the calculations above, we can see that the cost per ounce can be approximated as $0.10 per ounce.
Therefore, the correct answer is: canned peas cost $0.10 per ounce.
To determine the unit rate of the proportional relationship from the given graph, we need to find the change in cost per ounce for every one unit change in the number of ounces.
Using the points (0, 0) and (8, 0.75), we can find the change in cost per ounce:
Change in cost per ounce = (0.75 - 0) / (8 - 0)
= 0.75 / 8
= 0.09375
Using the points (8, 0.75) and (15, 1.50), we can find the change in cost per ounce:
Change in cost per ounce = (1.50 - 0.75) / (15 - 8)
= 0.75 / 7
≈ 0.10714
Using the points (15, 1.50) and (30, 3.00), we can find the change in cost per ounce:
Change in cost per ounce = (3.00 - 1.50) / (30 - 15)
= 1.50 / 15
= 0.10
Therefore, the unit rate of the proportional relationship is approximately $0.10 per ounce.
To find the unit rate of the proportional relationship from the given graph, we need to identify the change in the cost per ounce as the number of ounces increases by 1.
Let's look at the points provided: (0,0), (8,0.75), (15,1.50), (30,3.00)
The first point (0,0) doesn't give us any information about the slope since it represents the starting point.
To determine the unit rate, we need to find the change in the cost per ounce for each pair of consecutive points.
From (0,0) to (8,0.75), the cost per ounce increased by 0.75 - 0 = $0.75.
From (8,0.75) to (15,1.50), the cost per ounce increased by 1.50 - 0.75 = $0.75.
From (15,1.50) to (30,3.00), the cost per ounce increased by 3.00 - 1.50 = $1.50.
Since we want to determine the cost per ounce, we can see that the increase is not consistent. The cost per ounce is not a constant rate as the number of ounces increases. Therefore, we cannot identify a unit rate from the given points.
So, none of the options provided are correct based on the information given in the graph.