Final answer:
Using an exponential growth model with a 2% growth rate per year, the projected world population in 1991 would be approximately 5.41 billion.
Step-by-step explanation:
To project the world population in 1991 using an exponential growth model with an initial population of 5 billion in 1987 and a growth rate of 2% per year, we can use the formula:
P = P0 × (1 + r)t
where:
- P is the future population
- P0 is the initial population
- r is the annual growth rate (expressed as a decimal)
- t is the number of years between the initial and future time
Plugging in the values, we get:
P = 5 billion × (1 + 0.02)4
Solving for P, we find:
P = 5 × 1.024
P ≈ 5.41 billion
Therefore, the projected world population in 1991 would be approximately 5.41 billion people.