Respuesta :
The function that models the number of branches t years since Lenmana began studying her tree is:
[tex]N = 48(3.5)^t[/tex]
Solution:
Given that,
The number of branches increases by a factor of every 3.5 years
Let the function be N
t is the amount of time in years
When Lenmana began the study, her tree had 48 branches
The increasing function is given as:
[tex]N = a(b)^t[/tex]
Where,
N is the function ( future value )
a is the initial value
b is the growth factor
t is number of years
From given,
a = 48
b = 3.5
Therefore,
[tex]N = 48(3.5)^t[/tex]
Thus the function that models the number of branches t years since Lenmana began studying her tree is found
Answer:
Khan academy answer
Step-by-step explanation:
N(t)=48⋅(11/6)^t/3.5
