Question

review passage
the average weekly salary for workers in private industry nationwide is modeled by the equation ( w(t) = -0.1049t^4 + 4.3205t^3 - 64.517t^2 + 431.93t - 243.96 ), where ( t ) is the year and ( t = 0 ) denotes the year 2000.
question
in what month was the salary equal to $900? use function notation to denote this answer.
select a single answer
october of 2010, ( w(2010.75) = 900 )
october of 2010, ( w(10.75) = 900 )
april of 2010, ( w(2010.25) = 900 )

Explanation:

Step1: Define t for year 2010

Since $t=0$ is 2000, $t=2010-2000=10$

Step2: Calculate t for October

October is the 10th month, so $\frac{10}{12} \approx 0.75$. Total $t=10+0.75=10.75$

Step3: Match to function notation

The correct form is $w(10.75)=900$, corresponding to October 2010.

Answer:

October of 2010, $w(10.75) = 900$