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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.

(1 point)
has the better buy for a gallon of gasoline.
Remaining Attempts : 3

1 answer

To determine which store has a better buy for a gallon of gasoline, we should compare the cost per gallon for both stores based on the data provided.

Store A:

  • At 5 gallons, the cost is $20, so the cost per gallon is \( \frac{20}{5} = 4.00 \) per gallon.
  • At 10 gallons, the cost is $40, so the cost per gallon is \( \frac{40}{10} = 4.00 \) per gallon.
  • At 15 gallons, the cost is $60, so the cost per gallon is \( \frac{60}{15} = 4.00 \) per gallon.

The cost per gallon in Store A is consistently $4.00.

Store B:

  • At 5 gallons, the cost is $18.75, so the cost per gallon is \( \frac{18.75}{5} = 3.75 \) per gallon.
  • At 10 gallons, the cost is $37.50, so the cost per gallon is \( \frac{37.50}{10} = 3.75 \) per gallon.
  • At 15 gallons, the cost is $56.25, so the cost per gallon is \( \frac{56.25}{15} = 3.75 \) per gallon.

The cost per gallon in Store B is consistently $3.75.

Conclusion: Store B has a lower cost per gallon ($3.75) compared to Store A ($4.00). Thus, Store B offers the better buy for a gallon of gasoline.

So the answer is 2 for Store B.