Question

Write the function below in the form .P=Po^a^t Is this exponential growth or exponential decay? P=2e^-2.2t

Answer 1

Answer:

•   P = 2·0.1108^t
•   decay

Step-by-step explanation:

The multiplying factor (2) remains the same in any form in which the variable stands alone. The base of the exponential term can be determined by separating the parts of the exponent:

  e^(-2.2t) = (e^-2.2)^t = 0.1108^t

Then the function is ...

  P = 2·0.1108^t

_____

This could also be written as ...

  P = 0.1108^(t-0.3151) . . . . . where the variable does not stand alone in the exponent