Use the table and image to answer the question.

Question

Store 1 Football Cost
Quantity ($) Cost
1 12
2 24
3 36
Store 2 cost: 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?

Answer 1

To determine which store has the better buy for footballs, we need to examine the cost per football at both stores.

Store 1: The cost for footballs at Store 1 is as follows:

• 1 football: $12
• 2 footballs: $24
• 3 footballs: $36

From this data, we can calculate the cost per football:

• For 1 football: $12 / 1 = $12 per football
• For 2 footballs: $24 / 2 = $12 per football
• For 3 footballs: $36 / 3 = $12 per football

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

Store 2: From the graph provided, we can see the following costs:

• 1 football: $9
• 2 footballs: $18
• 3 footballs: $27
• 4 footballs: $36

We can calculate the cost per football for Store 2:

• For 1 football: $9 / 1 = $9 per football
• For 2 footballs: $18 / 2 = $9 per football
• For 3 footballs: $27 / 3 = $9 per football
• For 4 footballs: $36 / 4 = $9 per football

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

Comparison:

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

Conclusion: Store 2 has the better buy, as the cost per football is lower at $9 compared to Store 1's $12 per football.

Answer 2

y = 9x