Compare Proportional Relationships Quick Check
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 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 $12, and Store 1’s football costs $9.
To determine which store has the better buy, we need to compare the costs of footballs at Store 1 and Store 2. From the given information, we only have the cost data for Store 1. According to the table, the cost for a football at Store 1 is as follows:
- Quantity 1: $12
- Quantity 2: $24
- Quantity 3: $36
Since we don't have the cost information for Store 2, it is not possible to determine which store has the better buy. Additionally, the answer choices provided are also incorrect.
To determine which store has the better buy on footballs, we need to compare the costs at both stores.
First, let's look at Store 1. The cost of footballs at Store 1 is given in the table:
Quantity: ($) Cost:
1 12
2 24
3 36
From the table, we can see that as the quantity of footballs increases, the cost also increases proportionally. We can find the cost for 1 football at Store 1 by looking at the table, which is $12.
Now let's consider Store 2. The cost for footballs at Store 2 is not given in the question. To find this cost, we can use the graph provided.
The graph shows a line segment connecting points (0, 0), (1, 9), (2, 18), (3, 27), and (4, 36). From the graph, we can see that the cost increases by $9 for each increase in quantity by 1.
Since the question doesn't provide the cost for a football at Store 2, we can find it by finding the cost when the quantity is 0. From the graph, the point (0,0) corresponds to the cost of a football at Store 2 when the quantity is 0. Therefore, the cost for a football at Store 2 is $9.
To compare the two stores, we compare the cost of a football at both stores.
Store 1's football costs $12, and Store 2's football costs $9.
Therefore, the correct answer is:
Store 2 has the better buy on footballs. Store 1's football costs $12, and Store 2's football costs $9.