Question

Write the exponential function y = 50e^-0.21t in the form y = Pa^t

Answer 1

Question:

Write the exponential function y = 50e^-0.21t in the form y = Pa^t .

Solution:

Consider the following function:

`y=50e^(-0.21t)`

this is equivalent to:

`y=50(e^(-0.21))^t`

applying the properties of exponents, this is equivalent to:

`y=50((1)/(e^(0.21)))^t`

this is equivalent to:

`y=50((1)/(e^(0.21)))^t=50(0.81058)^t`

so that, we can conclude that

`a=\text{ }0.81058`