Two models, R$1$ and R$2,$ are given for revenue $($in billions of dollars$)$ for a large corporation. Both models are estimates of revenues for $2020$ through $2025,$ where

t $=20$

corresponds to $2020.$

R$1=7\mathrm{.}23+0\mathrm{.}27$t $+0\mathrm{.}02$t$2,$ R$2=7\mathrm{.}23+0\mathrm{.}1$t $+0\mathrm{.}01$t$2$

Which model projects the greater revenue?

The model R$1$ projects greater revenue than R$2.$The model R$2$ projects greater revenue than R$1.$The model R$1$ projects the same revenue as R$2.$

How much more total revenue does that model project over the six$-$year period? $($Round your answer to three decimal places.$)$

$ billion