A growth medium is inoculated with 1,000 bacteria, witch grow at rate of 15% each day. What is the population of the culture 6 days after inoculation?

Answer: the population of the culture 6 days after inoculation is 2313.

Step-by-step explanation:

The growth rate is exponential. We would apply the formula for exponential growth which is expressed as

y = b (1 + r) ^ t

Where

y represents the population after t days.

t represents the number of days.

b represents the initial population.

r represents rate of growth.

From the information given,

b = 1000

r = 15% = 15/100 = 0.15

t = 6 days

Therefore

y = 1000 (1 + 0.15) ^6

y = 1000 (1.15) ^6

y = 2313