SOLUTION: A movie theater is filled to capacity with 400 people. After the movie ends, people start leaving at the rate of 50 each minute. (a) Find an equation for N, the number of

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A movie theater is filled to capacity with 400 people. After the movie ends, people start leaving at the rate of 50 each minute. (a) Find an equation for N, the number of       Log On


   

Question 418580: A movie theater is filled to capacity with 400 people.
After the movie ends, people start leaving at the rate of 50 each
minute.
(a) Find an equation for N, the number of people in the theater, as a function of t, the number of minutes after the movie
ends. Enter your answer as an equation, such as N = 5t -1.

(b) For what values of t does the equation make sense in practical terms.
Domain:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
N= 400-50t
When N= 0
400 = 50t
t=400/50
t=8 minutes.
After 8 minutes the theater is empty.