Question
Graphing Linear Equations Online Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
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Question
Use the image to answer the 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 $0.03 per ounce.
Store A has the better buy by $0.03 per ounce. - no response given
Store A has the better buy by $0.10 per ounce.
Store A has the better buy by $0.10 per ounce. - no response given
Store B has the better buy by $0.13 per ounce.
Store B has the better buy by $0.13 per ounce. - no response given
Store B has the better buy by $0.03 per ounce.
Answers
GPT-4o mini
To determine which store has the better buy, we need to compare the cost per ounce from Store A (represented by the graph) and Store B (given by the equation \( y = 0.13x \)).
1. From the graph, we can determine the cost per ounce at different points:
- At \( x = 8 \) ounces, the cost is \( y = 0.80 \), which means the cost per ounce is \( \frac{0.80}{8} = 0.10 \) dollars per ounce.
- At \( x = 15 \) ounces, the cost is \( y = 1.50 \), which means the cost per ounce is \( \frac{1.50}{15} = 0.10 \) dollars per ounce.
- At \( x = 30 \) ounces, the cost is \( y = 3.00 \), which means the cost per ounce is \( \frac{3.00}{30} = 0.10 \) dollars per ounce.
From the graph, it seems that Store A charges \( 0.10 \) dollars per ounce.
2. Now, for Store B, the cost per ounce is given by the equation \( y = 0.13x \).
Therefore, the cost per ounce is \( 0.13 \) dollars per ounce.
3. Now we compare the two:
- Store A: \( 0.10 \) dollars per ounce
- Store B: \( 0.13 \) dollars per ounce
To find out which store has the better buy, we take the difference:
- \( 0.13 - 0.10 = 0.03 \)
Thus, Store A has the better buy compared to Store B by \( 0.03 \) dollars per ounce.
The answer is:
**Store A has the better buy by $0.03 per ounce.**
1. From the graph, we can determine the cost per ounce at different points:
- At \( x = 8 \) ounces, the cost is \( y = 0.80 \), which means the cost per ounce is \( \frac{0.80}{8} = 0.10 \) dollars per ounce.
- At \( x = 15 \) ounces, the cost is \( y = 1.50 \), which means the cost per ounce is \( \frac{1.50}{15} = 0.10 \) dollars per ounce.
- At \( x = 30 \) ounces, the cost is \( y = 3.00 \), which means the cost per ounce is \( \frac{3.00}{30} = 0.10 \) dollars per ounce.
From the graph, it seems that Store A charges \( 0.10 \) dollars per ounce.
2. Now, for Store B, the cost per ounce is given by the equation \( y = 0.13x \).
Therefore, the cost per ounce is \( 0.13 \) dollars per ounce.
3. Now we compare the two:
- Store A: \( 0.10 \) dollars per ounce
- Store B: \( 0.13 \) dollars per ounce
To find out which store has the better buy, we take the difference:
- \( 0.13 - 0.10 = 0.03 \)
Thus, Store A has the better buy compared to Store B by \( 0.03 \) dollars per ounce.
The answer is:
**Store A has the better buy by $0.03 per ounce.**