An investor is deciding between two options for a short-term investment. One
option has a return \(R\), in dollars, \(t\) months after investment, and is
modelled by the equation \(R=100\left(3^t\right)\). The other option has a
return \(R\), in dollars, \(t\) months after investment, and is modeled by the
equation \(R=350 t\). After 4 months, how much less is the return given by the
linear model than the return given by the exponential model?
A) \(\$ 1,400\)
B) \(\$ 4,050\)
C) \(\$ 6,700\)
D) \(\$ 8,100\)
$$
n-\sqrt{2 n+22}=1
$$