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Use the image and table to answer the question.

An illustration shows a graph depicting 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.

Store B
Cost of Gasoline per Gallon
Gallons ($) Cost
5 18.75
10 37.50
15 56.25
The proportional relationships between the cost and the number of gallons of gasoline for Store A and Store B are displayed in the graph and table. Which store has the better buy for a gallon of gasoline? Enter 1 for Store A. Enter 2 for Store B.

[_] has the better buy for a gallon of gasoline.

1 answer

To determine which store has the better buy for a gallon of gasoline, we need to calculate the cost per gallon for each store given the data provided.

Store A:

  • From the graph, the cost for 5 gallons is $20, for 10 gallons is $40, and for 15 gallons is $60.
  • Cost per gallon for Store A:
    • At 5 gallons: \( \frac{20}{5} = 4 \) dollars per gallon.
    • At 10 gallons: \( \frac{40}{10} = 4 \) dollars per gallon.
    • At 15 gallons: \( \frac{60}{15} = 4 \) dollars per gallon.

Store B:

  • From the table, the cost for 5 gallons is $18.75, for 10 gallons is $37.50, and for 15 gallons is $56.25.
  • Cost per gallon for Store B:
    • At 5 gallons: \( \frac{18.75}{5} = 3.75 \) dollars per gallon.
    • At 10 gallons: \( \frac{37.50}{10} = 3.75 \) dollars per gallon.
    • At 15 gallons: \( \frac{56.25}{15} = 3.75 \) dollars per gallon.

Comparison:

  • Store A: $4.00 per gallon.
  • Store B: $3.75 per gallon.

Since $3.75 (Store B) is less than $4.00 (Store A), Store B has the better buy for a gallon of gasoline.

Thus, the answer is:

2 has the better buy for a gallon of gasoline.