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Compare Proportional Relationships Quick Check
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Question
Use the table and image to answer the question.

Store 1 Football Cost
Quantity ($) Cost
1 12
2 24
3 36
An illustration shows a graph labeled Football Cost. The horizontal axis is labeled Quantity and ranges from 0 to 5 in increments of 1. The vertical axis is labeled Cost and ranges from 0 to 39 in increments of 3. An upward slanting line segment connects points plotted at left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 9 right parenthesis, left parenthesis 2 comma 18 right parenthesis, left parenthesis 3 comma 27 right parenthesis, and left parenthesis 4 comma 36 right parenthesis.

Two stores have their footballs on sale. Which store has the better buy? What is the cost for a football at Store 1 and Store 2?

(1 point)
Responses

Store 1 has the better buy on footballs. Store 2’s football costs $12, and Store 1’s football costs $9.
Store 1 has the better buy on footballs. Store 2’s football costs $12, and Store 1’s football costs $9.

Store 2 has the better buy on footballs. Store 1’s football costs $24, and Store 2’s football costs $9.
Store 2 has the better buy on footballs. Store 1’s football costs $24, and Store 2’s football costs $9.

Store 2 has the better buy on footballs. Store 1’s football costs $12, and Store 2’s football costs $9.
Store 2 has the better buy on footballs. Store 1’s football costs $12, and Store 2’s football costs $9.

Store 1 has the better buy on footballs. Store 2’s football costs $9, and Store 1’s football costs $3.
Store 1 has the better buy on footballs. Store 2’s football costs $9, and Store 1’s football costs $3.
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1 answer

To determine which store has the better buy on footballs, we need to look at the price per football based on the information provided.

From the table provided for Store 1, we can see the cost per football:

  • 1 football costs $12
  • 2 footballs cost $24 (which is $12 each)
  • 3 footballs cost $36 (which is $12 each)

For Store 1, the cost per football is consistently $12.

Next, let's analyze the graph for Store 2, which shows the following points plotted:

  • (1, 9) indicates that 1 football costs $9
  • (2, 18) indicates that 2 footballs cost $18 (which is $9 each)
  • (3, 27) indicates that 3 footballs cost $27 (which is $9 each)
  • (4, 36) indicates that 4 footballs cost $36 (which is $9 each)

For Store 2, the cost per football is consistently $9.

Now, we can compare the costs:

  • Store 1: $12 per football
  • Store 2: $9 per football

Since $9 (Store 2's cost) is less than $12 (Store 1's cost), Store 2 has the better buy on footballs.

The correct response is: Store 2 has the better buy on footballs. Store 1’s football costs $12, and Store 2’s football costs $9.