Slope as Unit Rate Quick Check
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Question
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 $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 $3.00 per ounce.
Canned peas cost $3.00 per ounce.
Canned peas cost $30 per ounce.
To determine the unit rate of the proportional relationship, we need to find the slope of the line connecting the plotted points. The slope can be found using the formula:
slope = (change in y)/(change in x)
From the given points, we can see that the change in y is 3.00 - 0.80 = 2.20 and the change in x is 30 - 8 = 22.
So, the slope = 2.20/22 = 0.10.
Therefore, the unit rate of the proportional relationship is $0.10 per ounce.
The correct response is:
Canned peas cost $0.10 per ounce.
To determine the unit rate of the proportional relationship, we need to find the slope of the line connecting the plotted points. The slope of a line is given by the formula:
slope = (change in y) / (change in x)
From the given points, we can calculate the change in y and change in x as follows:
Change in y = 3.00 - 0.80 = 2.20
Change in x = 30 - 8 = 22
Now, let's plug these values into the slope formula:
slope = 2.20 / 22 = 0.10
Therefore, the unit rate of the proportional relationship is $0.10 per ounce.