Abreeding group of beavers is introduced into a protected area. after t years the number of beavers in the area is modeled by the function

n(t)= 54/0.35+0.68^t

1. how many beavers were initially introduced?
2. estimate the number of beavers after 5 years.
3. determine the change in the beaver population between t = 5 and t = 10.

(note: all answers are whole numbers.)

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation:

hello,

as   long as they add up to 180 its correct.