Compare Proportional Relationships Practice

Question

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.

Answer 1

To determine which store has the better buy for a gallon of gasoline, we need to find the cost per gallon for both Store A and Store B based on the provided information.

Store A:

• The cost for different gallons of gasoline is as follows:
  • 5 gallons: $20 → Cost per gallon = $20 / 5 = $4
  • 10 gallons: $40 → Cost per gallon = $40 / 10 = $4
  • 15 gallons: $60 → Cost per gallon = $60 / 15 = $4

So, the cost per gallon at Store A is consistently $4 per gallon.

Store B:

• The cost for different gallons of gasoline is as follows:
  • 5 gallons: $18.75 → Cost per gallon = $18.75 / 5 = $3.75
  • 10 gallons: $37.50 → Cost per gallon = $37.50 / 10 = $3.75
  • 15 gallons: $56.25 → Cost per gallon = $56.25 / 15 = $3.75

So, the cost per gallon at Store B is consistently $3.75 per gallon.

Comparison:

• Store A: $4.00 per gallon
• Store B: $3.75 per gallon

Since $3.75 (Store B) is less than $4.00 (Store A), Store B is the better buy.

Therefore, the answer is 2 (Store B has the better buy for a gallon of gasoline).