Some companies spend billions of dollars each year lobbying Congress to secure some desired action. For the years 1998-2012, the number of unique, registered lobbyists who have actively lobbied Congress can be approximated with the 4th -degree polynomial model N (t) = − 0.35 t^4 + 6.1t^3 − 33 t^2 + 460t + 12278 0 ≤ t ≤ 15

where t represents the number of years since the beginning of the year 1998. Round your answers to the nearest lobbyist.

Required:
a. How many lobbyists were there during the 15-year deal?
b. If this trend continues, how many lobbyists can be expected from 2013 to 2016?

Step-by-step explanation:

Given the number of unique, registered lobbyists who have actively lobbied Congress can be approximated with the 4th -degree polynomial model

N(t) = − 0.35 t⁴ + 6.1t³ − 33 t² + 460t + 12278 0 ≤ t ≤ 15  where;

t = number of years since the beginning of the year 1998

a) To determine the number of lobbyists were there during the 15-year deal, we will have to substitute t = 15 into the modeled equation as shown;

N(15) = − 0.35 (15)⁴ + 6.1(15)³ − 33(15)² + 460(15) + 12278

N(15) = -17,718.75+20,587.5-7,425+6,900+12278

N(15) = 14,621.75

This shows that there are about 14,622 lobbyists during the 15-year deal

b) To determine the number of lobbyists that can be expected from 2013 to 2016 if the trend continue, we will substitute t =3 into the modeled equation since there are 3 years between 2012 and 2016.

N(3) = − 0.35 (3)⁴ + 6.1(3)³ − 33(3)² + 460(3) + 12278

N(3) = -28.35+164.7-297+1380+12279

N(3) = 13498.35

This means that if the trend continues, about 13,498 lobbyists will be expected from 2013 to 2016.

the least value out of the data shown is 5, maybe if you post a picture with it i could a little more.

step-by-step explanation:

898.1666667

step-by-step explanation:

5389/6 = 898.1666667