Suppose $f(t)$ is a function of the form $$f(t)=a^{bt}$$ for some constants $a$ and $b$. Suppose $t$ measures time in years, and $f(t)$ describes the decay of a radioactive isotope with a half life of $T$ years.
Then $f(t) =$ . (Your answer will be an expression involving $t$ and $T$.)
Hint: The choice of $a$ and $b$ are not unique, but the function is, and WeBWorK will accept any correct choice of $a$ and $b$. Just look for a half life of $T$.