Answer:)
a) f(t) = P₀ Rˣ
b) P (t) = 11,853 million
c) ˣ = 0,42 years
Step-by-step explanation:
a)
The exponential growth function for population is:
f(t) = P₀ Rˣ
Where f(t) is population at t
P₀ = population at t= 0
R growth rate
x = t = time
b) For 2018, 6 years after 2012 t = 6
P (t) = 6,56 * (3,49)⁶ ⇒ P (t) = 6,56* 1807
P (t) = 11,853 million
c) When will the population of the city be 11 million
11 = 6,56* (3,49)ˣ ⇒ 1,68 = (3,49)ˣ
Taking log both sides of the equation
log (1,68) = ˣ * log (3,49)
ˣ = 0,42 years
