Question

A musician has a new song available for downloading or streaming. The musician earns $0.09 each time the song is downloaded and $0.002 each time the song is streamed. What expression represents the amount, in dollars that a musician earns if the song is downloaded d times and streamed s times

Answer 1

a=0.09d+0.002s or if you prefer:

a=(90d+2s)/1000

Answer 2

`0.09\text{d}+0.002\text{s}`
`\$`

Explanation:

Given: A musician has a new song available for downloading or streaming. The musician earns
`\$0.09` each time the song is downloaded and
`\$0.002` each time the song is streamed.

To Find: Expression that represents the amount, in dollars that a musician earns if the song is downloaded
`\text{d}` times and streamed
`\text{s}` times.

Solution:

Amount earned by Musician when song is downloaded
`=\$0.09`

Amount earned by Musician when song is streamed
`=\$0.002`

Number of times song is downloaded
`=\text{d}`

Total amount earned when song is downloaded
`\text{d}` times

`=0.09\text{d}`

Number of times song is streamed
`=\text{s}`

Total amount earned when song is streamed
`\text{d}` times

`=0.002\text{s}`

Total amount earned by musician
`=\text{Amount earned by song downloading}+\text{Amount earned by streaming song}`

Therefore,

Total amount earned by musician
`=0.09\text{d}+0.002\text{s}`
`\$`