Slope as Unit Rate Quick Check
2 of 52 of 5 Items
Question
Use the image to answer the question.
An illustration shows two graphs depicting cost of gasoline per gallon in dollars in store A and B. The first graph shows 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. The second graph shows cost of gasoline per gallon in dollars in store B. The horizontal axis shows gallons ranging from 0 to 10 in increments of 2. The vertical axis shows the cost in dollars ranging from 0 to 30 in increments of 2. Three data points are plotted on the graph at left parenthesis 0 comma 0 right parenthesis, left parenthesis 4 comma 14 right parenthesis, and left parenthesis 8 comma 28 right parenthesis. A line connects all the data points.
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.
(1 point)
Responses
Store B has the cheaper gasoline. The cost of gasoline at Store A is $5 per gallon.
Store B has the cheaper gasoline. The cost of gasoline at Store A is $5 per gallon.
Store B has the cheaper gasoline. The cost of gasoline is $3.50 per gallon.
Store B has the cheaper gasoline. The cost of gasoline is $3.50 per gallon.
Store A has the cheaper gasoline. The cost of gasoline is $0.25 per gallon.
Store A has the cheaper gasoline. The cost of gasoline is $0.25 per gallon.
Store B has the cheaper gasoline. The cost of gasoline at Store A is $100 per gallon.
Store A has the cheaper gasoline. The cost of gasoline is $0.25 per gallon.
To determine which store has the cheaper cost of gasoline per gallon, we need to compare the slopes of the two graphs. The slope represents the rate at which the cost of gasoline changes with respect to the number of gallons.
Looking at Store A, we can see that for every 5 gallons, the cost of gasoline increases by $20. This means that the slope of the line connecting the data points in Store A is $20/5 gallons = $4 per gallon.
On the other hand, in Store B, for every 4 gallons, the cost of gasoline increases by $14. Therefore, the slope of the line connecting the data points in Store B is $14/4 gallons = $3.50 per gallon.
Comparing the slopes, we can conclude that Store B has the cheaper cost of gasoline per gallon. The cost of gasoline at Store A is $4 per gallon, while at Store B, it is $3.50 per gallon.
Therefore, the correct answer is:
Store B has the cheaper gasoline. The cost of gasoline at Store A is $4 per gallon.