Answer:
Part 1) The exponential function is
Part 2)
Step-by-step explanation:
Part 1) Write an exponential function
we know that
The exponential growth function is given by the formula
where
y is the population
x is the number of years
a is the initial population
r is the rate of change
we have
substitute
Part 2) How much will the population be after 16 years?
For x=16 years
substitute the value of x in the exponential function
Answer: D.
Step-by-step explanation:
The formula to find the compound amount (investment plus interest ) at the end of t years :
(1)
, where r= rate of interest ( in decimal)
P= Initial amount.
As per given , we have
P = x dollars
r = 8% = 0.08
t = 5
Put all the values in (1) , we get
Therefore , the the expression that represents the value, in dollars, of Pat's investment plus interest at the end of 5 years :
Hence, the correct answer is D.