According to the Social Security Advisory Board, the number of workers per beneficiary of the Social Security program was $3\mathrm{.}3$ in $1996$ and is projected to decline by $1\mathrm{.}46\%$ each year through $2030.$

$($a$)$ Find the model for the number of workers per beneficiary by filling in the blanks.

The function W$($x$)=$

is the number of

$---$Select$---$

$,$ given

$---$Select$---$

$,$

$0<=$ x $<=34.$

$($b$)$ What does the unrounded model predict the number of workers per beneficiary will be in $2017?($Round your answers to three decimal places when appropriate.$)$

W

$21$

Correct: Your answer is correct.

$=$

Incorrect: Your answer is incorrect.

workers