Answer:
[tex]0.09\text{d}+0.002\text{s}[/tex] [tex]\$[/tex]
Step-by-step explanation:
Given: A musician has a new song available for downloading or streaming. The musician earns [tex]\$0.09[/tex] each time the song is downloaded and [tex]\$0.002[/tex] each time the song is streamed.
To Find: Expression that represents the amount, in dollars that a musician earns if the song is downloaded [tex]\text{d}[/tex] times and streamed [tex]\text{s}[/tex] times.
Solution:
Amount earned by Musician when song is downloaded [tex]=\$0.09[/tex]
Amount earned by Musician when song is streamed [tex]=\$0.002[/tex]
Number of times song is downloaded [tex]=\text{d}[/tex]
Total amount earned when song is downloaded [tex]\text{d}[/tex] times
[tex]=0.09\text{d}[/tex]
Number of times song is streamed [tex]=\text{s}[/tex]
Total amount earned when song is streamed [tex]\text{d}[/tex] times
[tex]=0.002\text{s}[/tex]
Total amount earned by musician [tex]=\text{Amount earned by song downloading}+\text{Amount earned by streaming song}[/tex]
Therefore,
Total amount earned by musician [tex]=0.09\text{d}+0.002\text{s}[/tex] [tex]\$[/tex]
