Compare Proportional Relationships Quick Check

Question

5 of 55 of 5 Items

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 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.

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

Answer 1

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

From Store 1:

• The cost for 1 football is $12.
• The cost for 2 footballs is $24 (which means each football costs $12 as well).
• The cost for 3 footballs is $36 (each football still costs $12).

From the table, it is clear that Store 1 charges $12 for each football.

From the graph representing Store 2:

• The points on the line indicate:
  • 0 footballs = $0
  • 1 football = $9
  • 2 footballs = $18
  • 3 footballs = $27
  • 4 footballs = $36

From this data, we see that Store 2 charges $9 for each football.

Summary of Costs:

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

Therefore, Store 2 has the better buy on footballs.

Correct Response:

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