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

1 answer

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.