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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 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.

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

1 answer

To determine which store has the cheaper cost of gasoline per gallon, we can analyze the data points plotted on the graphs for both stores.

For Store A, the plotted points establish the following costs:

  • At 5 gallons: $20
  • At 10 gallons: $40
  • At 15 gallons: $60

From this, we can calculate the cost per gallon for Store A:

  • At 5 gallons: $20 / 5 = $4.00 per gallon
  • At 10 gallons: $40 / 10 = $4.00 per gallon
  • At 15 gallons: $60 / 15 = $4.00 per gallon

This shows that the cost of gasoline at Store A is consistently $4.00 per gallon.

For Store B, the points are:

  • At 4 gallons: $14
  • At 8 gallons: $28

Calculating the cost per gallon for Store B:

  • At 4 gallons: $14 / 4 = $3.50 per gallon
  • At 8 gallons: $28 / 8 = $3.50 per gallon

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

Comparing the two,

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

Therefore, Store B has the cheaper cost of gasoline, which is $3.50 per gallon.

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