Question

Enter the function below in the form p= p 0 a t . Does it represent exponential growth or exponential decay? P= 2e −0.5t round the base of the exponential function, a , to four decimal places.

Answer 1

we are given

`P=2e^(-0.5t)`

we can rewrite it as

`P=2(e^(-0.5))^t`

`e^(-0.5)=0.6065`

now, we can replace it

we get

`P=2(0.6065)^t`

now, we can compare it with

`P=P_0(a)^t`

and find a

`a=0.6065`

Since, a=0.6065<1

so, it is exponential decay function..........Answr