Question
Store a
Cost y gallons x
Dots
1 (5,20)
2 (10,40)
3 (15,60)
Store b
Cost y gallons x
Dots
1 (4,14)
2 (8,28)
The proportional relationship between the cost of gasoline and the number of gallons of gasoline from Store A and Store B are displayed in the graphs. Use the graphs to interpret the store that has the cheaper cost of gasoline per gallon.
(1 point)
Store B has the cheaper gasoline. The cost of gasoline is $3.50 per gallon.
Store B has the cheaper gasoline. The cost of gasoline at Store A is $100 per gallon.
Store B has the cheaper gasoline The cost of gasoline at Store A is $5 per gallon.
Store A has the cheaper gasoline. The cost of gasoline is $0.25 per gallon.
Cost y gallons x
Dots
1 (5,20)
2 (10,40)
3 (15,60)
Store b
Cost y gallons x
Dots
1 (4,14)
2 (8,28)
The proportional relationship between the cost of gasoline and the number of gallons of gasoline from Store A and Store B are displayed in the graphs. Use the graphs to interpret the store that has the cheaper cost of gasoline per gallon.
(1 point)
Store B has the cheaper gasoline. The cost of gasoline is $3.50 per gallon.
Store B has the cheaper gasoline. The cost of gasoline at Store A is $100 per gallon.
Store B has the cheaper gasoline The cost of gasoline at Store A is $5 per gallon.
Store A has the cheaper gasoline. The cost of gasoline is $0.25 per gallon.
Answers
GPT-4o mini
To determine which store has the cheaper cost of gasoline per gallon, we can analyze the provided data points from each store.
**Store A:**
- (5 gallons, $20) → Cost per gallon = $20 / 5 = $4.00
- (10 gallons, $40) → Cost per gallon = $40 / 10 = $4.00
- (15 gallons, $60) → Cost per gallon = $60 / 15 = $4.00
The cost of gasoline at Store A is consistently $4.00 per gallon.
**Store B:**
- (4 gallons, $14) → Cost per gallon = $14 / 4 = $3.50
- (8 gallons, $28) → Cost per gallon = $28 / 8 = $3.50
The cost of gasoline at Store B is consistently $3.50 per gallon.
**Comparison:**
- Store A: $4.00 per gallon
- Store B: $3.50 per gallon
Since $3.50 (Store B) is less than $4.00 (Store A), we can conclude that:
**Store B has the cheaper gasoline. The cost of gasoline is $3.50 per gallon.**
So the correct answer is:
**Store B has the cheaper gasoline. The cost of gasoline is $3.50 per gallon.**
**Store A:**
- (5 gallons, $20) → Cost per gallon = $20 / 5 = $4.00
- (10 gallons, $40) → Cost per gallon = $40 / 10 = $4.00
- (15 gallons, $60) → Cost per gallon = $60 / 15 = $4.00
The cost of gasoline at Store A is consistently $4.00 per gallon.
**Store B:**
- (4 gallons, $14) → Cost per gallon = $14 / 4 = $3.50
- (8 gallons, $28) → Cost per gallon = $28 / 8 = $3.50
The cost of gasoline at Store B is consistently $3.50 per gallon.
**Comparison:**
- Store A: $4.00 per gallon
- Store B: $3.50 per gallon
Since $3.50 (Store B) is less than $4.00 (Store A), we can conclude that:
**Store B has the cheaper gasoline. The cost of gasoline is $3.50 per gallon.**
So the correct answer is:
**Store B has the cheaper gasoline. The cost of gasoline is $3.50 per gallon.**