Question

Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the growth multiplier was around 2.0. In 1983, about 1800 people in the U.S. died of AIDS. If the trend had continued unchecked, how many people would have died from AIDS in 2018?

a. 46,080
b. 74,880
c. 120,000
d. 194,880

Answer 1

The number of people who would have died from AIDS in 2018 if the trend had continued unchecked is approximately 194,880.

Step-by-step explanation:

The question is asking us to determine how many people would have died from AIDS in 2018 if the trend had continued unchecked. We are given that in 1983, about 1800 people in the U.S. died of AIDS and that diseases tend to spread according to the exponential growth model with a growth multiplier of 2.0.

To solve this problem, we can use the formula for exponential growth:

() = 0 × ()

Where:

() = the population after time

0 = the initial population

= the growth multiplier (2.0 in this case)

= the number of years

We can substitute the given values into the formula:

(2018) = 1800 × (2.0)2018-1983

(2018) ≈ 1800 × (2.0)35

Using a calculator, we find that (2018) ≈ 194,880

Therefore, if the trend had continued unchecked, approximately 194,880 people would have died from AIDS in 2018.