Question

A population with a geometric growth rate of 1.6 has an initial population of 10 individuals. After 10 years the size of the population is expected to be
A. 1100
B. 1300
C. 16
D. 550
E. 900

Answer 1

Answer:

A. 1100

Explanation:

∵ The population which is increasing with the geometric rate of b is,

$P=ab^x$

Where,

a = initial population,

Here, a = 10,

If the population is growing by the growth factor of 1.6,

i.e. b = 1.6,

Then the population after x years,

$P=10(1.6)^x$

If x = 10,

Hence, the population after 10 years would be,

$A=10(1.6)^{10}=1099.51162778\approx 1100$

Option 'A' is correct