The population of a certain country in 1995 was 286 million people. in addition, the population of
the country was growing at a rate of 0.8% per year. assuming that this growth rate continues, the
model p(t) = 286(1.008) 1989 represents the population p (in millions of people) in yeart
according to this model, when will the population of the country reach
(a) 301 million people?
(b) 391 million people?
spa
(a) the population of the country will reach 301 million people during the year
(round down to the nearest whole number as needed.)

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.

i dont know this one sorry