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 $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.
Canned peas cost $30 per ounce.

Canned peas cost $0.10 per ounce.
Canned peas cost $0.10 per ounce.
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1 answer

To determine the unit rate of the proportional relationship, we can look at the plotted points on the graph. The coordinates represent the cost in dollars for a certain number of ounces of canned peas.

The most relevant point for finding the unit rate (cost per ounce) is where we can easily see cost per single ounce.

From the point (30, 3.00):

  • 30 ounces cost $3.00.

To find the cost per ounce, we calculate:

\[ \text{Cost per ounce} = \frac{\text{Cost}}{\text{Ounces}} = \frac{3.00}{30} = 0.10 \]

This means canned peas cost $0.10 per ounce.

Thus, the correct response is: Canned peas cost $0.10 per ounce.