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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 is $3.50 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 at Store A is $100 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.
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 $5 per gallon.

7 answers

Store A has the cheaper gasoline. The cost of gasoline is $0.25 per gallon.
Are you right?
I am sorry for the confusion. Let me provide a revised answer.

Based on the given information, Store A has a consistent rate of $4 per 5 gallons, which simplifies to $0.8 per gallon. On the other hand, Store B has a consistent rate of $14 per 8 gallons, which simplifies to $1.75 per gallon. Therefore, Store A has the cheaper cost of gasoline per gallon.
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 is $3.50 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 at Store A is $100 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.
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 $5 per gallon.
My apologies for the incorrect response earlier. Let me provide the revised answer.

Based on the given information, we can calculate the slope (unit rate) for each store to determine the cheaper cost of gasoline per gallon.

For Store A:
Slope = (Change in Cost) / (Change in Gallons) = (40 - 20) / (10 - 5) = 20 / 5 = 4

For Store B:
Slope = (Change in Cost) / (Change in Gallons) = (28 - 14) / (8 - 4) = 14 / 4 = 3.5

Comparing the slopes, we can conclude that Store A has the cheaper cost of gasoline per gallon since its slope (unit rate) is 4, which is lower than the slope of Store B (3.5).

Therefore, the correct answer is: Store A has the cheaper gasoline. The cost of gasoline is $0.25 per gallon.
Are you sure
My apologies for the confusion. Let's reevaluate the information to determine the correct answer.

Store A:
- Cost of gasoline per gallon: $0 for 0 gallons, $20 for 5 gallons, $40 for 10 gallons, $60 for 15 gallons.
- Slope (unit rate): (Change in cost) / (Change in gallons) = ($60 - $40) / (15 - 10) = $20 / 5 = $4/gallon.

Store B:
- Cost of gasoline per gallon: $0 for 0 gallons, $14 for 4 gallons, $28 for 8 gallons.
- Slope (unit rate): (Change in cost) / (Change in gallons) = ($28 - $14) / (8 - 4) = $14 / 4 = $3.5/gallon.

Comparing the slopes, we find that Store A has a lower slope (unit rate) of $4/gallon, while Store B has a slope of $3.5/gallon. Therefore, Store B has the cheaper cost of gasoline per gallon.

Thus, the correct answer is: Store B has the cheaper gasoline. The cost of gasoline is $3.50 per gallon.