Question

P=45,000−1,000mspace, P, equals, 45, comma, 000, minus, 1, comma, 000, mPeople start to leave the stadium at the end of a football game. The number of people, PPP, that are left in the stadium mmm minutes after the end of the game is given by the equation above. How many people were present when the game ended but before people started to leave?

Answer 1

45,000 people

Explanation:

Let

P -----> the number of people, that are left in the stadium

M ----> the time in minutes

we have

`P=45,000-1,000M`

This is a linear equation in slope intercept form

where

The slope is

`m=-1,000\ (people)/(minute)` ----> is negative because is a decreasing function

The P-intercept is

`b=45,000`

Remember that the P-intercept is the value of P when the value of M is equal to zero

That means

For M=0 min

P=45,000 people (number of people that were present when the game ended but before people started to leave)