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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?

AThe rate of change is -1.05% and represents exponential decay.
BThe rate of change is -5% and represents exponential decay.
CThe rate of change represents 5% and represents exponential growth.
DThe rate of change is 1.05% and represents exponential growth.

Verified Answer :

toporc

\(f(x)=1.05^{2t}\)
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.

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