The proportional relationship between the cost of gasoline and the number of gallons of gasoline from store A and Store B are displayed in the graphs. use the graphs to interpret the store that has the cheaper cost of gasoline per gallon. Store A (0, 0), (5, 20), (10, 40), (15, 60) Store B (0, 0), (4, 14), (8, 28).
To determine which store has the cheaper cost of gasoline per gallon, we need to compare the slopes of the two graphs. The slope of a proportional relationship represents the cost per gallon.
For Store A, using the points (0, 0) and (5, 20), we can calculate the slope as:
slope = (20 - 0) / (5 - 0) = 20 / 5 = 4
For Store B, using the points (0, 0) and (4, 14), we can calculate the slope as:
slope = (14 - 0) / (4 - 0) = 14 / 4 = 3.5
Comparing the slopes, we can see that the slope for Store A (4) is higher than the slope for Store B (3.5).
Therefore, Store B has the cheaper cost of gasoline per gallon compared to Store A.