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.

Question

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 $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.

Answer 1

To find the unit rate of the cost per ounce of canned peas, we can look at the coordinates given in the graph:

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

To find the unit rate (cost per ounce), we can divide the cost by the number of ounces at each point.

For example, using the point (30, 3.00): Cost per ounce = Total cost / Total ounces = $3.00 / 30 ounces = $0.10 per ounce.

Let's verify with another point, using (8, 0.80): Cost per ounce = $0.80 / 8 ounces = $0.10 per ounce.

Thus, regardless of the point used, the unit rate is consistently $0.10 per ounce.

Therefore, the correct answer is: Canned peas cost $0.10 per ounce.