Question

graphing linear equations compare proportional relationships

cost of gasoline per gallon
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)

Explanation:

Step1: Find unit rate for Store A

From the graph, when \( x = 5 \) gallons, cost \( y = 20 \) dollars. Unit rate (cost per gallon) for Store A is \( \frac{20}{5}=4 \) dollars per gallon.

Step2: Find unit rate for Store B

From the table, for 5 gallons, cost is 18.75 dollars. Unit rate for Store B is \( \frac{18.75}{5}=3.75 \) dollars per gallon.

Step3: Compare unit rates

Since \( 3.75 < 4 \), Store B has a lower cost per gallon, so it's a better buy. But wait, no—wait, wait, let's recheck. Wait, Store A: at x=5, y=20? Wait the graph: x is gallons, y is cost? Wait the y-axis is labeled with numbers 0,10,20,30. So when x=5 (gallons), y=20 (cost). So cost per gallon for A: 20/5 = 4. For B: 18.75/5 = 3.75. So 3.75 is less than 4, so Store B is better? But the question says "Enter 1 for Store A, 2 for Store B". Wait, maybe I misread the graph. Wait the graph: the point is at (5,20)? Wait the y-axis: is it cost? Let me check again. The graph is titled "Compare Proportional Relationships", x is gallons, y is cost? So (0,0) and (5,20). So slope (unit rate) is 20/5 = 4. Store B: 5 gallons cost 18.75, so 18.75/5 = 3.75. So 3.75 < 4, so Store B is better, so enter 2? Wait no, wait maybe the y-axis is labeled wrong? Wait no, the problem says "Cost of Gasoline per Gallon" for the table. Wait maybe I made a mistake. Wait Store A: when x=5 gallons, y=20? So cost per gallon is 20/5=4. Store B: 5 gallons cost 18.75, so 3.75. So 3.75 is less than 4, so Store B is cheaper, so it's a better buy, so enter 2. Wait but let's confirm. So the better buy is the one with lower cost per gallon. So Store B has lower cost, so answer is 2? Wait no, wait maybe the graph's y-axis is not cost? Wait the problem says "Cost of Gasoline per Gallon" for both. Wait the graph: x is gallons, y is cost. So (5,20) means 5 gallons cost 20, so 4 per gallon. Store B: 5 gallons cost 18.75, so 3.75 per gallon. So 3.75 < 4, so Store B is better, so enter 2.

Answer:

2