SOLUTION: there are currently 100,000 people in a stadium watching a soccer game. when the game ends, about 3% of the crowd will leave the stadium each minute. at this rate, how many minutes

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: there are currently 100,000 people in a stadium watching a soccer game. when the game ends, about 3% of the crowd will leave the stadium each minute. at this rate, how many minutes      Log On


   

Question 1179397: there are currently 100,000 people in a stadium watching a soccer game. when the game ends, about 3% of the crowd will leave the stadium each minute. at this rate, how many minutes will it take for 3/4 of the crowd to leave the stadium
pls help and have step by step if u can i am so confused with this lesson :(
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

there are currently 100000 people in a stadium watching a soccer game
when the game ends, about 3% =0.03of the crowd will leave the stadium each minute t. at this rate,
100000%2A0.03=3000
the crowd will leave the stadium at rate 3000%2Fmin+

how many minutes will it take for 3%2F4 of the crowd to leave the stadium
%283%2F4%29100000=75000
t=75000%2F%283000%2Fmin%29
t=75min%2F3
t=25min
it will it take 25min for 3%2F4 of the crowd to leave the stadium

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

there are currently 100,000 people in a stadium watching a soccer game. when the game ends, about 3% of the crowd will leave the stadium each minute. at this rate, how many minutes will it take for 3/4 of the crowd to leave the stadium
pls help and have step by step if u can i am so confused with this lesson :(
You can set this up as a PROPORTION:   

With 3% being .03, and time taken for matrix%281%2C3%2C+3%2F4%2C+or%2C+.75%29 of crowd to leave, we get: matrix%281%2C3%2C+.03%2F1%2C+%22=%22%2C+.75%2FT%29

.03T = .75 ------ Cross-multiplying

Time taken for matrix%281%2C3%2C+3%2F4%2C+or%2C+.75%29 of crowd to leave, or