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

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.

Answer 1

To find the unit rate of the proportional relationship shown in the graph, we need to determine the cost per ounce.

From the graph, let's examine the coordinates given:

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

To find the cost per ounce, we can use the last point (30, 3.00):

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

Thus, the unit rate is $0.10 per ounce.

The correct response is: Canned peas cost $0.10 per ounce.