Christina and Stacie each determined the cost of printing posters for their campaigns.
The table below represents the total cost of printing x posters for Christina's campaign.
Quantity Price ($)
3 9
6 18
9 27
12 36
The graph below represents the total cost of printing x posters for Stacie's campaign.
Which of the following is true?
A.
Stacie's price per poster is cheaper than Christina's price per poster.
B.
Christina's price per poster is cheaper than Stacie's price per poster.
C.
There is not enough information to determine the price per poster.
D.
Christina's price per poster and Stacie's price per poster are the same.
To determine the price per poster for each campaign, we need to divide the total cost by the quantity of posters.
For Christina's campaign:
Price per poster = Total cost / Quantity
Price per poster = 9 / 3 = $3
Price per poster = 18 / 6 = $3
Price per poster = 27 / 9 = $3
Price per poster = 36 / 12 = $3
For Stacie's campaign, we can examine the graph to find the price per poster at different quantities of posters. However, since the graph is not provided, we cannot determine the price per poster for Stacie's campaign.
Therefore, the correct answer is:
C. There is not enough information to determine the price per poster.
To determine which campaign has a cheaper price per poster, we need to calculate the cost per poster for each campaign.
For Christina's campaign:
Quantity: 3, Price: $9
Cost per poster = Price / Quantity = 9 / 3 = $3
Quantity: 6, Price: $18
Cost per poster = Price / Quantity = 18 / 6 = $3
Quantity: 9, Price: $27
Cost per poster = Price / Quantity = 27 / 9 = $3
Quantity: 12, Price: $36
Cost per poster = Price / Quantity = 36 / 12 = $3
Therefore, Christina's price per poster is $3.
For Stacie's campaign, since the graph is not given, we don't have enough information to calculate the cost per poster. So, the correct answer is C. There is not enough information to determine the price per poster.
To determine which of the options is true, we need to calculate the price per poster for both Christina and Stacie.
For Christina's campaign, we can see that the total cost of printing 3 posters is $9, the total cost of printing 6 posters is $18, and so on. From this information, we can calculate the price per poster by dividing the total cost by the quantity of posters.
For example, the price per poster for printing 3 posters is $9/3 = $3. Similarly, for printing 6 posters, the price per poster is $18/6 = $3.
We can repeat this calculation for each data point and find that the price per poster for Christina remains constant at $3.
Now let's analyze Stacie's campaign. The graph shows us the total cost of printing x posters. To find the price per poster, we need the ratio of the total cost to the quantity of posters.
Unfortunately, the graph does not provide specific values for the total cost at each quantity of posters. It only provides a visual representation of the relationship between the two variables.
Therefore, we cannot accurately determine the price per poster for Stacie's campaign based on the information provided.
Hence, the correct answer is C. There is not enough information to determine the price per poster.