Respuesta :
Answer:
Option B is correct.
[tex]f(t) = 88(1.025)^t[/tex] represents the population of the pack of wolves after t years
Step-by-step explanation:
The exponential growth function is given by;
[tex]f(t) = a(1+r)^t[/tex] ......[1]
where
a represented the initial value
r represents the rate(in decimal)
t represents the time in years
As per the given statement: The population of a pack of wolves is 88. Also, the population is expected to grow at a rate of 2.5% each year.
⇒ a = 88 and r =2.5% = 0.025.
Substituting these values in equation [1], we have;
[tex]f(t) = 88(1+0.025)^t[/tex]
or
[tex]f(t) = 88(1.025)^t[/tex]
Therefore, the population model of the pack of wolves after t years is given by: [tex]f(t) = 88(1.025)^t[/tex]
