The population of Night Vale, in thousands, x years after 2012 is modeled by the function,

$\displaystyle {f{{\left({x}\right)}}}=$ 95.3 (0.9^x).

Write the population when x=1 (2013). Round to 3 decimal places.

thousand people

What is the rate of change when x=1? Round to 3 decimal places.

thousand people per year

Write the linearization of the population at x=1.

$\displaystyle {L}{\left({x}\right)}=$