Question

If a city that currently has a population of 1000 triples in size every 8 years, what will the population be in 24 years? Is the population growth modeled by a linear function or an exponential function? A) 12,000; linear B) 18,000; exponential C) 20,000; linear D) 27,000; exponential

Answer 1

D ) 27,000; exponential

Explanation:

y = A(b) ^ t

A: initial amount

b: growth rate

t: time y = 1000 * (3) ^ ((1/8) * t)

For 24 years we have: y = 1000 * (3) ^ ((1/8) * 24) y = 27000

Answer 2

For this case we have a function of the form:
y = A * (b) ^ t
Where,
A: initial amount
b: growth rate
t: time
Substituting values we have:
y = 1000 * (3) ^ ((1/8) * t)
For 24 years we have:
y = 1000 * (3) ^ ((1/8) * 24)
y = 27000
Answer:
D) 27,000; exponential