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Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the growth rate was around 190%. In 1983, about 1700 in the U.S died of AIDS. if the trend had continued unchecked, how many people would have died from AIDS in 2005?

Respuesta :

lucic

Answer:

2.4103274×10²¹ people

Step-by-step explanation:

An exponential growth rate is modeled by the equation;

[tex]y=y_0e^{kt}[/tex]

where

y₀=initial state of the system

k=growth constant where, k>0

t=time of growth

y=population after time t

Given that;

y₀=1700

k=190% =1.9

t=2005-1983=22

e=2.71828182846

Then ;

y=y₀e^kt

y=1700*2.71828182846^(1.9*22)

y=1700*2.71828182846^41.8

y=2.4103274×10²¹ people

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