The town of Clueville has approximately 30 000 people. An arts major is researching
the spread of news across the town. She determines that 300 knew the news of Col.
Mustard's death the morning after it happened. After 1 day, she found that 900 people knew about the death. Solve the logistic equation
dy/dt = k*y( 1 - y/L),to estimate how many people in the town knew about the death after 4 days. Note: L is the total possible number of people who can know and k is the growth constant.

Question

The town of Clueville has approximately 30 000 people. An arts major is researching
the spread of news across the town. She determines that 300 knew the news of Col.
Mustard's death the morning after it happened. After 1 day, she found that 900 people knew about the death. Solve the logistic equation 
dy/dt = k*y( 1 - y/L),to estimate how many people in the town knew about the death after 4 days. Note: L is the total possible number of people who can know and k is the growth constant.