Use the image to answer the question.

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.

Answer 1

To determine the unit rate of the proportional relationship from the graph titled "Cost per Ounce," we need to find the cost per ounce by calculating the slope of the line connecting the points.

From the graph, we can see that:

• At 0 ounces, the cost is $0.00.
• At 8 ounces, the cost is $0.80.
• At 15 ounces, the cost is $1.50.
• At 30 ounces, the cost is $3.00.

To find the unit rate (cost per ounce), we can look at one of the points where we know both ounces and cost. For example, we can take the point (8, 0.80):

\[ \text{Unit Rate} = \frac{\text{Cost}}{\text{Ounces}} = \frac{0.80}{8} = 0.10 \text{ dollars per ounce} \]

Thus, the unit rate of the cost per ounce of canned peas is:

Canned peas cost $0.10 per ounce.