Question

Use the image to answer the question.
Cost per Ounce
(30, 3.00), (15, 1.50), (7, 0.75), (0, 0)
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?
A. Store B has the better buy by $0.03 per ounce.
B. Store A has the better buy by $0.10 per ounce.
C. Store A has the better buy by $0.03 per ounce.
D. Store B has the better buy by #0.13 per ounce.

Answer 1

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

From the given graph data for Store A:
- At 30 ounces, the cost is $3.00, so the cost per ounce is $3.00 / 30 = $0.10 per ounce.
- At 15 ounces, the cost is $1.50, so the cost per ounce is $1.50 / 15 = $0.10 per ounce.
- At 7 ounces, the cost is $0.75, so the cost per ounce is $0.75 / 7 ≈ $0.11 per ounce.
- At 0 ounces, the cost is $0.

From the equation for Store B, \( y = 0.13x \):
- For 1 ounce, the cost will be \( y = 0.13 \cdot 1 = 0.13 \).

Now, we can see that:
- Store A's best cost is \( 0.10 \) per ounce.
- Store B's cost is \( 0.13 \) per ounce.

To find out which store has a better buy, we subtract the cost per ounce of Store A from that of Store B:
\[ 0.13 - 0.10 = 0.03 \]

Thus, Store A's price is better by $0.03 per ounce.

So, the answer is:
**C. Store A has the better buy by $0.03 per ounce.**