Question
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.
To determine which store has the better buy for a gallon of gasoline, we can compare the cost for the same number of gallons at both stores.
In Store A, the cost for 5 gallons of gasoline is $20.
In Store B, the cost for 5 gallons of gasoline is $18.75.
Comparing the two, we can see that Store B has a lower cost for 5 gallons of gasoline. Therefore, Store B (2) has the better buy for a gallon of gasoline.
To determine which store has the better buy for a gallon of gasoline, we can compare the cost per gallon for both Store A and Store B.
For Store A, we can see from the graph that the cost of gasoline per gallon is plotted at (0,0), (5,20), (10,40), and (15,60).
For Store B, the cost of gasoline per gallon is given in the table as $18.75 for 5 gallons, $37.50 for 10 gallons, and $56.25 for 15 gallons.
To compare the cost per gallon, we divide the total cost by the number of gallons for each store.
For Store A:
- Cost per gallon at 5 gallons: 20 / 5 = 4 dollars per gallon
- Cost per gallon at 10 gallons: 40 / 10 = 4 dollars per gallon
- Cost per gallon at 15 gallons: 60 / 15 = 4 dollars per gallon
For Store B:
- Cost per gallon at 5 gallons: 18.75 / 5 = 3.75 dollars per gallon
- Cost per gallon at 10 gallons: 37.50 / 10 = 3.75 dollars per gallon
- Cost per gallon at 15 gallons: 56.25 / 15 = 3.75 dollars per gallon
Therefore, both Store A and Store B have the same cost of $4 per gallon.