Use the image to answer the question.
An illustration shows Quadrant 1 of a coordinate plane. The x-axis is labeled Ounces and ranges from 0 to 40 in 5 unit increments. The y-axis is labeled Cost in dollars and ranges from from 0.00 to 4.00 in increments of 0.50. The graph is titled Cost per Ounce. A line connects four points plotted on the graph. The coordinates of the plotted points are left parenthesis 0 comma 0 right parenthesis, left parenthesis 8 comma 0.80 right parenthesis, left parenthesis 15 comma 1.50 right parenthesis, and left parenthesis 30 comma 3.00 right parenthesis.
The graph displays the cost per ounce of canned peas. Use the graph to determine the unit rate of the proportional relationship.
(1 point)
Responses
Canned peas cost $10 per ounce.
Canned peas cost $10 per ounce.
Canned peas cost $3.00 per ounce.
Canned peas cost $3.00 per ounce.
Canned peas cost $0.10 per ounce.
Canned peas cost $0.10 per ounce.
Canned peas cost $30 per ounce.
Canned peas cost $30 per ounce.
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The unit rate of the proportional relationship shown on the graph is $0.10 per ounce.
To determine the unit rate of the proportional relationship, we need to find the cost per ounce. Looking at the graph, we can see that the coordinates of the points plotted are (0, 0), (8, 0.80), (15, 1.50), and (30, 3.00).
From these points, we can observe that as the number of ounces increases, the cost also increases. So, the cost per ounce is not a constant value.
To calculate the unit rate, we need to identify the change in cost divided by the change in ounces between two points.
Let's take the first two points, (0, 0) and (8, 0.80):
Change in cost = 0.80 - 0 = 0.80
Change in ounces = 8 - 0 = 8
Unit rate = Change in cost / Change in ounces = 0.80 / 8 = 0.10
Therefore, the unit rate of the proportional relationship is $0.10 per ounce.