Question

Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the growth factor (i.e. common ratio; growth multiplier) was around 2.1. In 1983, about 1900 people in the U.S. died of AIDS. If the trend had continued unchecked, how many people would have died from AIDS in 2004?

Answer 1

Answer:

people died from AIDS in 2004 is 73608 people

Explanation:

given data

growth factor b = 2.1

U.S. died of AIDS a = 1900 people

to find out

how many people would have died from AIDS 2004

solution

we get here time that is from 1983 to 2004 is

time = 2004 - 1983 = 21

so equation is

y = a × $b^{t}$   ...................1

put here value we get

y = 1600 × $1.2^{21}$

y = 1600 × 46.00511

y = 73608.19

so  people died from AIDS in 2004 is 73608 people