Roger is paid $50 to sell videos of a play to an audience after the play is performed.

he also receives $2 for each video he sells.

the play's audience consists of 230 people and each audience member buys no more than 1 video

what is the practical domain of the function?

show how you determined/defined the practical domain.

what is the most that roger can earn?

Practical domain:

Roger can earn $510 at most when every member of the audience purchases a video

Step-by-step explanation:

The function

Gives us Roger's earnings when he sells v videos. Knowing the play’s audience consists of 230 people and also each one buys no more than one video, v can take values from 0 to 230 or. equivalently  

Those limits become the practical domain of E(v) because if we chose v outside of it, the function would lose validity

If nobody is willing to purchase a video, v=0 and Roger's earings would be

If every person from the audience purchases a video, then v=230 because each person can only purchase 1 video

In that case, where v=230, then

Roger can earn $510 at most.