Compare Proportional Relationships Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
2 of 52 of 5 Items
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.
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To determine which store has the better buy for a gallon of gasoline, we need to compare the cost per gallon in both stores.
In Store A, the cost of gasoline per gallon starts at $0 and increases by $20 for every 5 gallons. So, the cost per gallon can be found by dividing the total cost by the number of gallons.
For example, when 5 gallons of gasoline cost $20, the cost per gallon is 20/5 = $4. Similarly, when 10 gallons of gasoline cost $40, the cost per gallon is 40/10 = $4, and so on.
In Store B, the cost of gasoline per gallon is given directly in the table. The cost per gallon is $18.75 for 5 gallons, $37.50 for 10 gallons, and $56.25 for 15 gallons.
Comparing the cost per gallon in both stores, we see that Store A consistently offers a better buy for a gallon of gasoline. This is because the cost per gallon is $4 in Store A, while it is higher in Store B at $18.75, $37.50, and $56.25 for 5, 10, and 15 gallons respectively.
Therefore, Store A (1) has the better buy for a gallon of gasoline.
To determine which store has the better buy for a gallon of gasoline, let's compare the cost per gallon for both stores.
In Store A, the cost of gasoline per gallon is as follows:
- At 5 gallons, the cost is $20
- At 10 gallons, the cost is $40
- At 15 gallons, the cost is $60
In Store B, the cost of gasoline per gallon is as follows:
- At 5 gallons, the cost is $18.75
- At 10 gallons, the cost is $37.50
- At 15 gallons, the cost is $56.25
To compare the cost per gallon, we divide the cost by the number of gallons for each store.
For Store A:
- At 5 gallons, the cost per gallon is $20/5 gallons = $4/gallon
- At 10 gallons, the cost per gallon is $40/10 gallons = $4/gallon
- At 15 gallons, the cost per gallon is $60/15 gallons = $4/gallon
For Store B:
- At 5 gallons, the cost per gallon is $18.75/5 gallons = $3.75/gallon
- At 10 gallons, the cost per gallon is $37.50/10 gallons = $3.75/gallon
- At 15 gallons, the cost per gallon is $56.25/15 gallons = $3.75/gallon
Both stores have a constant cost per gallon of $4/gallon for Store A and $3.75/gallon for Store B.
Therefore, Store B has the better buy for a gallon of gasoline, as it is cheaper at $3.75/gallon compared to Store A's $4/gallon.
Enter 2 for Store B.