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 $30 per ounce.
Canned peas cost $30 per ounce.
Canned peas cost $0.10 per ounce.
Canned peas cost $0.10 per ounce.
Canned peas cost $3.00 per ounce.
Canned peas cost $3.00 per ounce.
Canned peas cost $10 per ounce.
Canned peas cost $10 per ounce.
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The unit rate of the proportional relationship is $0.10 per ounce.
Well, it looks like the cost of canned peas is going up by 50 cents per unit increase on the y-axis. So the unit rate of the proportional relationship is $0.50 per ounce. But hey, let's not get too obsessed with canned peas now, there are plenty of other tasty vegetables out there!
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 of a line can be found using the formula:
slope = (change in y)/(change in x)
From the graph, 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 (unit rate) of the proportional relationship is:
slope = (3.00)/(30) = 0.10
So, the unit rate is $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, we need to find the cost per ounce. Looking at the graph, we can see that the cost per ounce is represented on the y-axis. The y-axis is labeled "Cost in dollars" and ranges from 0.00 to 4.00 in increments of 0.50.
The graph shows four points plotted on it: (0,0), (8,0.80), (15,1.50), and (30,3.00). These points represent different quantities of ounces and their corresponding costs.
To find the unit rate, we need to compare the change in cost with the change in ounces. Looking at the plotted points, we can see that the cost increases as the number of ounces increases.
Between the points (0,0) and (8,0.80), the cost increases by 0.80 - 0.00 = 0.80 dollars for every 8 - 0 = 8 ounces. This gives us a cost increase of 0.80/8 = 0.10 dollars per ounce.
Between the points (8,0.80) and (15,1.50), the cost increases by 1.50 - 0.80 = 0.70 dollars for every 15 - 8 = 7 ounces. This gives us a cost increase of 0.70/7 = 0.10 dollars per ounce.
Between the points (15,1.50) and (30,3.00), the cost increases by 3.00 - 1.50 = 1.50 dollars for every 30 - 15 = 15 ounces. This gives us a cost increase of 1.50/15 = 0.10 dollars per ounce.
From these calculations, we can see that regardless of the number of ounces, the cost per ounce remains constant at $0.10. Therefore, the unit rate of the proportional relationship is $0.10 per ounce.
So, the correct answer is: Canned peas cost $0.10 per ounce.