Question:
Write the exponential function y = 50e^-0.21t in the form y = Pa^t .
Solution:
Consider the following function:
[tex]y=50e^{-0.21t}[/tex]
this is equivalent to:
[tex]y=50(e^{-0.21})^t[/tex]
applying the properties of exponents, this is equivalent to:
[tex]y=50(\frac{1}{e^{0.21}})^t[/tex]
this is equivalent to:
[tex]y=50(\frac{1}{e^{0.21}})^t=50(0.81058)^t[/tex]
so that, we can conclude that
[tex]a=\text{ }0.81058[/tex]
