Question

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

Answer 1

Answer:

Practical domain: $v\in[0,230]\ or\ 0\leqslant v\leqslant 230$

Roger can earn $510 at most.

Step-by-step explanation:

We are given the function

$E(v)=50+2v$

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.  

$v\in[0,230]\ or\ 0\leqslant v\leqslant 230$

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

$E(230)=50+2(230)=50+460=510$

Roger can earn $510 at most.