Question

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

He also receives $2 for each video he sells. The equation e = 50 + 2v models the amount of money Roger earns selling v videos. The plays audience consists of 230 people.

What is the theoretical and practical domain of the equation?​

Answer 1

Roger can earn $510 at most.

Explanation:

We are given the function



Which gives the earnings of Roger when he sells v videos. Since the play’s audience consists of 230 people and each one buys no more than one video, v can take values from 0 to 230, i.e.



That is the practical domain of E(v)

If Roger is in bad luck and nobody is willing to purchase a video, v=0

If Roger is in a perfectly lucky night and every person from the audience wants to purchase a video, then v=230. It's the practical upper limit since each person can only purchase 1 video

In the above-mentioned case, where v=230, then



Roger can earn $510 at most.