Question

Question

Use the image to answer the 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 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 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 is $3.50 per gallon.

Answer 1

To determine which store has the cheaper cost of gasoline per gallon, let's analyze the provided data points from each store's graph.

For Store A:

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

The cost of gasoline at Store A is consistently $4.00 per gallon.

For Store B:

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

The cost of gasoline at Store B is consistently $3.50 per gallon.

Now comparing the two store prices:

• Store A: $4.00 per gallon
• Store B: $3.50 per gallon

Thus, Store B has the cheaper gasoline.

So the correct response is: Store B has the cheaper gasoline. The cost of gasoline is $3.50 per gallon.