Answer:
Tacoma's population in 2014 will be 587,439 people
Step-by-step explanation:
we know that
The equation of a exponential growth function is given by the formula
[tex]y=a(1+r)^x[/tex]
where
y is Tacoma's population in thousand
x is the number of years since 2000
r is the rate of change
a is the initial value
we have
[tex]a=200\\r=8\%=8/100=0.08[/tex]
substitute
[tex]y=200(1+0.08)^x[/tex]
[tex]y=200(1.08)^x[/tex]
what will Tacoma's population be in 2014?
Find the value of x
[tex]x=2014-2000=14\ years[/tex]
substitute the value of x
[tex]y=200(1.08)^{14}=587.439\ thousand[/tex]
therefore
Tacoma's population in 2014 will be 587,439 people
