b. 1640
To calculate the population after 10 years, we can use the formula for exponential decay:
P = Pā * (1 - r)^t
Where:
P = final population
Pā = initial population (1,750)
r = rate of decrease (11% or 0.11)
t = time in years (10)
Plugging in the values:
P = 1750 * (1 - 0.11)^10
P = 1750 * (0.89)^10
P ā 1750 * 0.2951
P ā 1640
Therefore, there will be approximately 1640 cheetahs in the population after 10 years.
A population of 1,750 cheetahs decreases by 11% per year. How many cheetahs will there be in the population after 10 years? Round your answer to the nearest whole number.
a
486
b
1640
c
4969
d
546
1 answer