At 9 AM there are 37 bacteria in a dish and they start doubling every 15 minutes. At t = 274 minutes an antibacterial organism is introduced into the dish which stops its growth and begins destroying 6% of it every
24 minutes. How many bacteria are in the dish at 7 PM? Round your answer to the nearest whole number.

5,035,041

Step-by-step explanation:

Exponential growth:

y = future amount

a = initial amount

r = growth rate

x = number of periods

Part A: growth at the rate of doubling each 15 minutes for 274 minutes

Each period is 15 minutes.

a = 37

x = 274/15 = number of periods

r = 100%

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Exponential decay:

The growth takes place from 9 AM for 274 minutes, or 4 hours and 34 minutes, until 1:34 PM. The decay goes from 1:34 PM to 7 PM, or 5 hours and 26 minutes, or 326 minutes

Part B: decay at the rate of 6% each 24 minutes for 326 minutes

5,035,041

80% of the cookies

step-by-step explanation: