Pining for Poplar is a family$-$owned furniture store specializing in wooden products. The store opened in $1999$ and has seen their sales grow steadily over the years, as shown in the chart below. In particular, $t$ represents the number of years since Pining for Poplar opened $($this is treated as our $x$ variable$)$ and $R$ gives the total revenue in that year, in thousands of dollars.

$\backslash$table$[[t,10,12,14,16],[R,9511102\mathrm{.}8,1254\mathrm{.}61406\mathrm{.}4,,]]$

$($a$)$ Use the information in the table to complete the following:

During the year $2009$ Pining for Poplar had a total revenue of thousand dollars. The store's total revenue was $$1254600$ in the year

$($b$)$ Find a linear equation to model the data in the chart.

$R=$

$($c$)$ Assuming the model found in part $($b$)$ continues to be accurate in the future, we predict that Pining for Poplar's revenue will be $ in $2022.$