Question

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 people in the u.s. died of aids. if the trend had continued unchecked, how many people would have died from aids in 2005? write answer in scientific notation. first number rounded to 2 decimal places

Answer 1

Using the exponential growth model, if the trend had continued unchecked, approximately 2.55 x 10^5 people would have died from AIDS in 2005.

Step-by-step explanation:

The growth rate of AIDS in the early days was 190%, according to the exponential growth model. In 1983, about 1700 people in the U.S. died of AIDS. If the trend had continued unchecked, we can calculate the number of people who would have died from AIDS in 2005.

To do this, we need to use the exponential growth formula:

A = P * (1 + r)^t

where:

A = the final amount (number of people who died in 2005)

P = the initial amount (number of people who died in 1983)

r = the growth rate (190% = 1.9)

t = the time elapsed (2005 - 1983 = 22 years)

Substituting the values into the formula, we get:

A = 1700 * (1 + 1.9)^22

Using a calculator, we find that A is approximately 254,502.47.

Rounding to two decimal places, the answer in scientific notation is 2.55 x 10^5.