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 $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 $10 per ounce.
Canned peas cost $10 per ounce.
Canned peas cost $30 per ounce.
The unit rate of the proportional relationship can be determined by finding the slope of the line connecting the plotted points on the graph. The slope is determined by the change in y divided by the change in x.
From the plotted points, we can see that the change in y is 3.00 - 0.00 = 3.00 and the change in x is 30 - 0 = 30.
Therefore, the slope (or unit rate) of the proportional relationship is 3.00/30 = $0.10 per ounce.
So, the correct answer is: Canned peas cost $0.10 per ounce.
To determine the unit rate of the proportional relationship shown in the graph, we need to find the rate of change of the cost per ounce.
The y-axis represents the cost in dollars and the x-axis represents the number of ounces.
From the plotted points on the graph, we can see that when the number of ounces is 0, the cost is $0.00. When the number of ounces is 30, the cost is $3.00.
So, the rate of change of the cost per ounce is calculated as follows:
Change in cost = $3.00 - $0.00 = $3.00
Change in ounces = 30 - 0 = 30
The unit rate of the proportional relationship is therefore $3.00/30 = $0.10 per ounce.
Therefore, the correct answer is:
Canned peas cost $0.10 per ounce.