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.

1 answer

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.
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