Question

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

Round the base of the exponential function, , to four decimal places.

Answer 1

• P = 2·0.1108^t
• decay

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