A population numbers 501 organisms initially and increases by 7.7% each year.

Question

A population numbers 501 organisms initially and increases by 7.7% each year.

Suppose PP represents population, and tt the number of years of growth. Write an exponential model to represent this situation.

Answer 1

Exponential model

f(x)=a(b)^x

a = initial amount

b = growth factor

b = 1 + r

r = growth rate as a decimal

take 7.7% turn into decimal by taken the decimal and move it 2 times to the left 7.7% = .077

P = 501(1+.077)^t this is your Exponential model