To determine which store has the better buy, we need to compare the cost per ounce of canned corn for both Store A (represented by the graph) and Store B (represented by the equation \( y = 0.13x \)).
From the graph:
- At \( x = 8 \) ounces, Store A's cost is \( 0.80 \) dollars, so the cost per ounce is \( \frac{0.80}{8} = 0.10 \) dollars per ounce.
- At \( x = 15 \) ounces, Store A's cost is \( 1.50 \) dollars, so the cost per ounce is \( \frac{1.50}{15} = 0.10 \) dollars per ounce.
- At \( x = 30 \) ounces, Store A's cost is \( 3.00 \) dollars, so the cost per ounce is \( \frac{3.00}{30} = 0.10 \) dollars per ounce.
Store A consistently has a cost of \( 0.10 \) dollars per ounce.
For Store B:
- The equation for cost per ounce is \( y = 0.13x \).
- To find the cost per ounce, we use the ratio with the ounces: \[ \text{Cost per ounce for Store B} = \frac{y}{x} = \frac{0.13x}{x} = 0.13 \text{ dollars per ounce}. \]
Now we can compare the costs per ounce:
- Store A: \( 0.10 \) dollars per ounce
- Store B: \( 0.13 \) dollars per ounce
Since \( 0.10 < 0.13 \), Store A has the better buy.
To find the difference: \[ 0.13 - 0.10 = 0.03 \text{ dollars per ounce}. \]
Thus, the final answer is:
Store A has the better buy by $0.03 per ounce.