Question

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Compare Proportional Relationships Practice
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Question
Use the image and table to answer the question.

An illustration shows a graph depicting cost of gasoline per gallon in dollars in store A. The horizontal axis shows gallons ranging from 0 to 20 in increments of 5. The vertical axis shows the cost in dollars ranging from 0 to 70 in increments of 10. Four data points are plotted on the graph at left parenthesis 0 comma 0 right parenthesis, left parenthesis 5 comma 20 right parenthesis, left parenthesis 10 comma 40 right parenthesis, and left parenthesis 15 comma 60 right parenthesis. A line connects all the data points.

This table shows the cost of gasoline per gallon at Store B, along with the total cost for different quantities of gallons purchased.
Store B
Cost of Gasoline per Gallon
Gallons ($) Cost
5 18.75
10 37.50
15 56.25
The proportional relationships between the cost and the number of gallons of gasoline for Store A and Store B are displayed in the graph and table. Which store has the better buy for a gallon of gasoline? Enter 1 for Store A. Enter 2 for Store B.

(1 point)
has the better buy for a gallon of gasoline.

Answers

GPT-4o mini
To determine which store has the better buy for a gallon of gasoline, we need to examine the cost per gallon for both stores.

From the graph for Store A:
- The cost per gallon can be calculated from the data points:
- At 5 gallons: $20, so $20/5 gallons = $4 per gallon
- At 10 gallons: $40, so $40/10 gallons = $4 per gallon
- At 15 gallons: $60, so $60/15 gallons = $4 per gallon

Thus, the cost of gasoline at Store A is **$4 per gallon**.

From the table for Store B:
- The cost per gallon can be calculated as follows:
- At 5 gallons: $18.75, so $18.75/5 gallons = $3.75 per gallon
- At 10 gallons: $37.50, so $37.50/10 gallons = $3.75 per gallon
- At 15 gallons: $56.25, so $56.25/15 gallons = $3.75 per gallon

Thus, the cost of gasoline at Store B is **$3.75 per gallon**.

Comparing both costs:
- Store A: $4 per gallon
- Store B: $3.75 per gallon

**Conclusion:** Store B has the better buy for a gallon of gasoline.

So, the answer is **2** (for Store B).