The number of bacteria in a flask grows according to the differential equation dy/dt=0.09y In this question, time is measured in hours and the number of bacteria, y, is measured in millions. The number of bacteria at time t = 0 is 15 million.   Enter a formula for the number of bacteria at time t y =    What is the value of the growth constant? Growth constant : ___ per hour.   How long does it take for the number of bacteria to double? (Enter your answer correct to two decimal places.) Doubling time : ___ hours.   How many million bacteria will be present after 5 hours have passed? (Enter your answer correct to one decimal place.) Number present after 5 hours :  million.

The number of bacteria in a flask grows according to the differential equation

dy/dt=0.09y

In this question, time is measured in hours and the number of bacteria, y, is measured in millions.

The number of bacteria at time t = 0 is 15 million.

1. Enter a formula for the number of bacteria at time t

   y = 

    

2. What is the value of the growth constant?

   Growth constant : ___ per hour.

    

3. How long does it take for the number of bacteria to double?

   (Enter your answer correct to two decimal places.)

   Doubling time : ___ hours.

    

4. How many million bacteria will be present after 5 hours have passed?

   (Enter your answer correct to one decimal place.)

   Number present after 5 hours :  million.