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Question

An illustration shows two graphs depicting cost of gasoline per gallon in dollars in store A and B. The first graph shows 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. The second graph shows cost of gasoline per gallon in dollars in store B. The horizontal axis shows gallons ranging from 0 to 10 in increments of 2. The vertical axis shows the cost in dollars ranging from 0 to 30 in increments of 2. Three data points are plotted on the graph at left parenthesis 0 comma 0 right parenthesis, left parenthesis 4 comma 14 right parenthesis, and left parenthesis 8 comma 28 right parenthesis. A line connects all the data points.

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)
Responses

Store A has the cheaper gasoline. The cost of gasoline is $0.25 per gallon.
Store A has the cheaper gasoline. The cost of gasoline is $0.25 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 $100 per gallon.

Store B has the cheaper gasoline. The cost of gasoline at Store A is $5 per gallon.
Store B has the cheaper gasoline. The cost of gasoline at Store A is $5 per gallon.

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 is $3.50 per gallon.
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Answer 1

To determine which store has the cheaper cost of gasoline per gallon, we can analyze the data points provided for both Store A and Store B.

For Store A:

• (0, 0) - at 0 gallons, cost is $0
• (5, 20) - at 5 gallons, cost is $20 → Cost per gallon = $20 / 5 = $4
• (10, 40) - at 10 gallons, cost is $40 → Cost per gallon = $40 / 10 = $4
• (15, 60) - at 15 gallons, cost is $60 → Cost per gallon = $60 / 15 = $4

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

For Store B:

• (0, 0) - at 0 gallons, cost is $0
• (4, 14) - at 4 gallons, cost is $14 → Cost per gallon = $14 / 4 = $3.50
• (8, 28) - at 8 gallons, cost is $28 → Cost per gallon = $28 / 8 = $3.50

Thus, the cost of gasoline at Store B is consistently $3.50 per gallon.

Comparing the two:

• Store A: $4 per gallon
• Store B: $3.50 per gallon

Therefore, Store B has the cheaper gasoline.

The correct response is:

Store B has the cheaper gasoline. The cost of gasoline is $3.50 per gallon.