# math

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) ≤?

1. 👍
2. 👎
3. 👁
1. 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~ :)

1. 👍
2. 👎

## Similar Questions

1. ### algebra

A movie theater has 400 seats. Tickets at the theater cost \$8 for students, \$10 for adults, and \$7 for senior citizens. On a night when all the seats were sold, the theater made \$3,535 from ticket sales. If the number of adult

2. ### English

1. Which term describes the comparison of two things that are not alike in an obvious way?(1 point) explanation **connection analogy similarity 2.Which two things are being compared in the following analogy? Sitting in the

3. ### Math

15 movie theaters average 600 customers per theater per day. If 6 of the theaters close down but the total theater attendance stays the same, what is the average daily attendance per theater among the remaining theaters? A. 750 B.

4. ### math

A Drunk Person at the Theater There are 𝑛 people in line, indexed by 𝑖=1,…,𝑛, to enter a theater with 𝑛 seats one by one. However, the first person (𝑖=1) in the line is drunk. This person has lost her ticket and

1. ### math arithmetic sequence and series

A theater has 30 seats in the first row, 33 seats in the second row, 36 seats in the third row, and so on in the same increasing pattern. If the theater has 15 rows of seats, how many seats are in the theater?

2. ### Math - Help!!

You are a member of your local movie theater’s club. Every time you see a movie at the theater, you earn 2 advantage points. When you earn 100 points, you get a free movie pass. Currently, you have 40 advantage points. Write an

3. ### Informal logic

Catherine goes to her local movie theater only to see romantic comedies. Since Catherine did not go to the movies yesterday, there is not a romantic comedy playing at her local theater. The reasoning above is flawed because the

4. ### math

The movie theater has 48 rows of seats with 12 seats in each row. If every seat is full, how many people are at the theater?

1. ### pre cal

The yearly attendance at a local movie theater is 82,000 and grows continuously at a rate of 5.1% each year. What is the approximate attendance at the movie theater in ten years?

2. ### science linear equation

A theater is presenting a program on drinking and driving for students and their parents. The proceeds will be donated to a local alcohol information center. Admission is \$18 for parents and \$9 for students. However, this

3. ### math

30% of the tickets sold by a movie theater for the Friday night show were children's tickets at \$4 each. The rest of the tickets were sold at the full price of \$8.50. The movie theater collected \$360 just for the children's

4. ### Maths

A movie theatre seats 200 people. For any particular show, the amount of money, m, the theatre makes is a function of the number of people, n, in attendance. If a ticket costs \$12 and the cost to the theatre to run one show is