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

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

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

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

Answer 1

To determine which store offers the better buy for canned corn, we need to evaluate the cost per ounce for both Store A (based on the graph) and Store B (based on the equation).

1. Store A's Costs:

   • From the graph, we can read the following costs per ounce at specific points:
     • At 0 ounces: $0.00
     • At 8 ounces: $0.80 (which is $0.10 per ounce)
     • At 15 ounces: $1.50 (which is $0.10 per ounce)
     • At 30 ounces: $3.00 (which is $0.10 per ounce)
   • Analyzing the values, the cost per ounce for Store A appears to be $0.10.

2. Store B's Costs:

   • Store B's price is given by the equation \(y = 0.13x\).
     • To convert this to cost per ounce, we need to find the cost for some specific ounces:
       • For example, for 1 ounce: \[ y = 0.13 \times 1 = 0.13 \] This means Store B costs $0.13 per ounce.
       • This calculation holds for any given quantity of ounces.

3. Comparing the Costs:

   • Store A: $0.10 per ounce
   • Store B: $0.13 per ounce

4. Conclusion:

   • Store A is cheaper than Store B by: \[ 0.13 - 0.10 = 0.03 \]

Therefore, the response is:

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