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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 $3.00 per ounce.
Canned peas cost $3.00 per ounce.

Canned peas cost $10 per ounce.
Canned peas cost $10 per ounce.

Canned peas cost $30 per ounce.
Canned peas cost $30 per ounce.
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1 answer

To find the unit rate of the proportional relationship displayed in the graph, we can analyze the plotted points.

From the graph:

  • At (0, 0), it indicates no cost for 0 ounces.
  • At (8, 0.80), it shows that 8 ounces cost $0.80, making the cost per ounce $0.80 / 8 = $0.10 per ounce.
  • At (15, 1.50), the cost per ounce is $1.50 / 15 = $0.10 per ounce.
  • At (30, 3.00), the cost per ounce is $3.00 / 30 = $0.10 per ounce.

All calculated costs per ounce consistently result in $0.10.

Thus, the unit rate is:

Canned peas cost $0.10 per ounce.