Answer:
Step-by-step explanation:
we know that
The equation of a exponential growth function is given by

where
y is the population of rabbits
x is the number of years since 1991
a is the initial value
r is the rate of change
we have

substitute

For the year 1998
the number of years is equal to
x=1998-1991=7 years
so
we have the ordered pair (7,18,000)
substitute in the exponential equation and solve for r


elevated both sides to 1/7


therefore


Predict the population of rabbits in the year 2006
Find the value of x
x=2006-1991=15 years
substitute the value of x in the equation


The answer is 30 because 1/8 of 40 is 5 so 40-5 = 35 and 1/7 of 35 is 5 so 35-5 = 30
The graph of f(x) - 4 is obtained by translating the graph of f(x) 4 units down.
Therefore, the corresponding point for the function f(x) - 4 is (-3, 5 - 4) = (-3, 1).