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.

1 answer

To determine which store has the better buy for a gallon of gasoline, we need to find out the cost per gallon from each store:

Store A:

  • From the graph, the cost for 5 gallons is $20, so the cost per gallon is: \[ \text{Cost per gallon for Store A} = \frac{20}{5} = 4 \text{ dollars} \]

Store B:

  • From the table, the cost for 5 gallons is $18.75, so the cost per gallon is: \[ \text{Cost per gallon for Store B} = \frac{18.75}{5} = 3.75 \text{ dollars} \]

Now, comparing the two costs:

  • 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.

So the answer is 2 (indicating Store B).