Question

Steven was given the function, f(x)=1.05^2t and asked to determine the rate of change and the type of exponential function. What is the best way for Steven to describe the function?
A. The rate of change is -1.05% and represents exponential decay.
B. The rate of change is -5% and represents exponential decay.
C. The rate of change represents 5% and represents exponential growth.
D. The rate of change is 1.05% and represents exponential growth.

Answer 1

$f(x)=1.05^{2t}$
The term 1.05 consists of the initial value 1 and the rate of change 0.05, (the latter being expressed as a decimal).
Therefore the correct answer choice is C.