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 function e(v)=50+2v
models the amount of money roger earns by selling v videos. 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. explain show your process as if you were teaching someone else how to do the work. what is the most that roger can earn?  

Practical domain:

Roger can earn $510 at most.

Step-by-step 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.

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step-by-step explanation:

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi