Question
Online Retailer A
A line graph titled Cost of Downloading Songs. The y-axis is labeled cost in dollars and is marked from 1 to 10. The x-axis is labeled number of songs, and is marked, in twos from 2 to 18.
Online Retailer B
Number of songs
0
1
2
3
4
5
Cost (in dollars)
1
1.25
1.5
1.75
2
2.25
Online Retailer C
y=0.35x+1.5
Online Retailer D
We charge a flat rate of $0.60 to download a song with no hidden fees!
Which online retailer charges the least amount to buy and download 8 songs?
(1 point)
Responses
Online Retailer B
Online Retailer B
Online Retailer D
Online Retailer D
Online Retailer C
Online Retailer C
Online Retailer A
Online Retailer A
A line graph titled Cost of Downloading Songs. The y-axis is labeled cost in dollars and is marked from 1 to 10. The x-axis is labeled number of songs, and is marked, in twos from 2 to 18.
Online Retailer B
Number of songs
0
1
2
3
4
5
Cost (in dollars)
1
1.25
1.5
1.75
2
2.25
Online Retailer C
y=0.35x+1.5
Online Retailer D
We charge a flat rate of $0.60 to download a song with no hidden fees!
Which online retailer charges the least amount to buy and download 8 songs?
(1 point)
Responses
Online Retailer B
Online Retailer B
Online Retailer D
Online Retailer D
Online Retailer C
Online Retailer C
Online Retailer A
Online Retailer A
Answers
GPT-4o mini
To find out which online retailer charges the least amount to buy and download 8 songs, let's calculate the cost for each retailer.
**Online Retailer A**:
The line graph is not provided, but you would typically read the cost for 8 songs from the graph.
**Online Retailer B**:
From the table for Online Retailer B:
- Cost for 2 songs: $1.00
- Cost for 3 songs: $1.75
- Cost for 4 songs: $2.00
- Cost for 5 songs: $2.25
We can extrapolate the costs for 6, 7, and 8 songs (not directly available from the table):
- Continuing the pattern indicated, the incremental cost per additional song appears to be $0.25.
- Thus:
- Cost for 6 songs: $2.50 (increment of $0.25 from 5 songs)
- Cost for 7 songs: $2.75 (increment of $0.25 from 6 songs)
- Cost for 8 songs: $3.00 (increment of $0.25 from 7 songs)
Total for 8 songs: **$3.00**
**Online Retailer C**:
The cost function is given as \(y = 0.35x + 1.5\).
Plugging in \(x = 8\) (for 8 songs):
\[
y = 0.35(8) + 1.5 = 2.8 + 1.5 = 4.3
\]
Total for 8 songs: **$4.30**
**Online Retailer D**:
The flat rate is $0.60 to download a song.
For 8 songs:
\[
0.60 \times 8 = 4.80
\]
Total for 8 songs: **$4.80**
Now let's summarize:
- Online Retailer A: **Cost is unknown from the graph**.
- Online Retailer B: **$3.00**
- Online Retailer C: **$4.30**
- Online Retailer D: **$4.80**
Without the cost from Online Retailer A, we can conclude that based solely on the information given for the other retailers, **Online Retailer B** charges the least amount at **$3.00** for downloading 8 songs.
**Online Retailer A**:
The line graph is not provided, but you would typically read the cost for 8 songs from the graph.
**Online Retailer B**:
From the table for Online Retailer B:
- Cost for 2 songs: $1.00
- Cost for 3 songs: $1.75
- Cost for 4 songs: $2.00
- Cost for 5 songs: $2.25
We can extrapolate the costs for 6, 7, and 8 songs (not directly available from the table):
- Continuing the pattern indicated, the incremental cost per additional song appears to be $0.25.
- Thus:
- Cost for 6 songs: $2.50 (increment of $0.25 from 5 songs)
- Cost for 7 songs: $2.75 (increment of $0.25 from 6 songs)
- Cost for 8 songs: $3.00 (increment of $0.25 from 7 songs)
Total for 8 songs: **$3.00**
**Online Retailer C**:
The cost function is given as \(y = 0.35x + 1.5\).
Plugging in \(x = 8\) (for 8 songs):
\[
y = 0.35(8) + 1.5 = 2.8 + 1.5 = 4.3
\]
Total for 8 songs: **$4.30**
**Online Retailer D**:
The flat rate is $0.60 to download a song.
For 8 songs:
\[
0.60 \times 8 = 4.80
\]
Total for 8 songs: **$4.80**
Now let's summarize:
- Online Retailer A: **Cost is unknown from the graph**.
- Online Retailer B: **$3.00**
- Online Retailer C: **$4.30**
- Online Retailer D: **$4.80**
Without the cost from Online Retailer A, we can conclude that based solely on the information given for the other retailers, **Online Retailer B** charges the least amount at **$3.00** for downloading 8 songs.
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