Question

. A population is currently 6,000 and has been increasing by 1.2% each day. Write an exponential model for the population.

Answer 1

Answer: $A=6000(1.012)^t$

Step-by-step explanation:

General exponential function:

$A=P(1+r)^t$

, where P= current  population

r= rate of growth

t= time period

A= population after t years

As per given , we have P=6,000

r= 1.2% = 0.012

Then, the required exponential function:  $A=6000(1+0.012)^t$

or $A=6000(1.012)^t$