Question

A movie theater seats people. For any particular show, the amount of money the theater makes is a function, , of the number of people, , in attendance. If a ticket costs , find the domain and range of this function. The domain of is the set of integer multiples of

Answer 1

Answer:

$n \in [0,1,2,....200] , n \in [0,200]$ because the maximum capacity is 200 people

And based on the values for the domain we can define the range like this:

$A \in [0,4,8,12,16,.......,800]$

Step-by-step explanation:

Assuming the following problem :"A movie theatre seats 200 people. For any particular show, the amount of money the theatre makes isa function of the number of people, n, that attend. If a ticket costs $4, state the domain and range of this function"

For this case based on the info the function would be:

$A= 4n$

Where A represent the amount of money collected and n the number of people that attend.

As we can see the domain on this case would be:

$n \in [0,1,2,....200]$ because the maximum capacity is 200 people

And based on the values for the domain we can define the range like this:

$A \in [0,4,8,12,16,.......,800]$