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 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.

Store A and Store B are advertising canned corn on sale. Store A’s canned corn cost per ounce is displayed in the graph. Store B’s canned corn is represented by the equation y=0.13x
. Which store has the better buy and by how much?

(1 point)
Responses

Store B has the better buy by $0.13 per ounce.
Store B has the better buy by $0.13 per ounce.

Store B has the better buy by $0.03 per ounce.
Store B has the better buy by $0.03 per ounce.

Store A has the better buy by $0.10 per ounce.
Store A has the better buy by $0.10 per ounce.

Store A has the better buy by $0.03 per ounce.
Store A has the better buy by $0.03 per ounce.
Remaining Attempts : 3
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Answer 1

To determine which store has the better buy, we need to compare the cost per ounce for canned corn from Store A and Store B using the provided information.

From the graph, we can see the cost per ounce from Store A:

• At \(0\) ounces, the cost is \(0.00\) dollars per ounce.
• At \(8\) ounces, the cost is \(0.80\) dollars, which means \(0.80 / 8 = 0.10\) dollars per ounce.
• At \(15\) ounces, the cost is \(1.50\) dollars, which means \(1.50 / 15 = 0.10\) dollars per ounce.
• At \(30\) ounces, the cost is \(3.00\) dollars, which means \(3.00 / 30 = 0.10\) dollars per ounce.

So for Store A, the cost per ounce is consistently \(0.10\) dollars per ounce.

For Store B, the cost is given by the equation \(y = 0.13x\):

• This means the cost per ounce is \(0.13\) dollars per ounce at any quantity \(x\).

Now we can compare the two stores:

• Store A: \(0.10\) dollars per ounce
• Store B: \(0.13\) dollars per ounce

To find out which store has the better buy, we can calculate the difference: \[ 0.13 - 0.10 = 0.03 \] So, Store A has the better buy by \(0.03\) dollars per ounce.

Therefore, the correct answer is: Store A has the better buy by $0.03 per ounce.