Posted by **sara** on Saturday, September 3, 2011 at 12:59am.

A movie theater seats 500 people. For any particular show, the amount of money the theater makes is a function m(n) of the number of people, n, in attendance. If a ticket costs 2 dollars, find the domain and range of this function.

domain: ?≤ n ≤?

range: ?≤ m(n) ≤?

- math -
**Jai**, Saturday, September 3, 2011 at 1:17am
since the amount of money the theater makes is a function of the number of people, it is dependent on the number of people.

let n = number of people

let m = amount of money

since a ticket costs 2 dollars, the amount of money would be

m = 2n, or in function form,

m(n) = 2n

since the movie theater has capacity of 500, the domain (all possible values of n) would be:

0 ≤ n ≤ 500

the minimum amount of money the theater is 0 if n = 0 and maximum is 500*2 = 1000 if n = 500. therefore the range (all possible values of m) is:

0 ≤ m(n) ≤ 1000

hope this helps~ :)

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