The bar graph shows the cumulative number of deaths from AID

The bar graph shows the cumulative number of deaths from AIDS in the United States, from 1990 through each of the years 1996 to 2002. The data in the graph can be modeled by the following polynomials, in which f(x) and g(x) represent the cumulative number of AIDS deaths x years after 1990 f(X) = -2213x^2 + 57.574x + 107, 898 g(x) = -86x^3 - 704x^2 + 50, 606x + 113, 436 Use f(x) to find the cumulative number of AIDS deaths in 2000. (Simplify your answer.) Use g(x) to find the cumulative number of AIDS deaths in 2000. (Simplify your answer.) Which function is a better desorption for the actual number shown in the bar graph? Intersection A f(x) Click to select your answer(s).

Solution

Solution:

here;

x = 2000-1990

=> x = 10

a)

f(10) = -2213 (10)^2 + 57574 (10) + 107898

=> f (10) = 462338

b)

similarly;

g(10) = -86(10)^3 - 704 (10)^2 + 50606 (10) + 113436

=> g(10) = 463096

c)

as f(10) is near to the value shown in bar graph i.e, 458551

=> f(x) describes bar graph better