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.
To determine which store has the better buy for a gallon of gasoline, we need to compare the cost per gallon for both stores.
In Store A, the cost of gasoline per gallon increases by $20 for every 5 gallons.
In Store B, the cost of gasoline per gallon increases by $18.75 for every 5 gallons.
Since the cost per gallon in Store A increases by a larger amount than in Store B, this means that Store B has the better buy for a gallon of gasoline.
Therefore, the answer is 2 for Store B.
To determine which store has the better buy for a gallon of gasoline, we need to compare the cost per gallon in Store A and Store B.
In Store A, we can see that the cost of gasoline per gallon increases linearly with the number of gallons. The cost starts at $0 for 0 gallons and increases by $20 for every 5 gallons. So, the cost per gallon in Store A can be calculated as (Cost / Gallons) = (20 / 5) = $4 per gallon.
In Store B, we can see from the table that the cost of gasoline per gallon is given directly. The cost per gallon in Store B is $18.75 for 5 gallons, $37.50 for 10 gallons, and $56.25 for 15 gallons.
Comparing the cost per gallon for both stores, we can see that Store B has a lower cost per gallon compared to Store A. Therefore, Store B has the better buy for a gallon of gasoline.
Hence, the answer is 2 for Store B.