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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 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.

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 $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 at Store A is $100 per gallon.
Store B has the cheaper gasoline. The cost of gasoline at Store A is $100 per gallon.
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1 answer

To determine which store has the cheaper cost of gasoline per gallon, we can analyze the cost at key points from both graphs.

From Store A's graph:

  • At 5 gallons, the cost is $20, making the price per gallon $20 / 5 = $4.00.
  • At 10 gallons, the cost is $40, making the price per gallon $40 / 10 = $4.00.
  • At 15 gallons, the cost is $60, making the price per gallon $60 / 15 = $4.00.

From Store B's graph:

  • At 4 gallons, the cost is $14, making the price per gallon $14 / 4 = $3.50.
  • At 8 gallons, the cost is $28, making the price per gallon $28 / 8 = $3.50.

Comparing the prices per gallon from both stores:

  • Store A has a cost of $4.00 per gallon.
  • Store B has a cost of $3.50 per gallon.

Therefore, Store B has the cheaper gasoline.

The correct interpretation based on the information is: Store B has the cheaper gasoline. The cost of gasoline is $3.50 per gallon.