Answer:
[tex]370,002\ people[/tex]
Step-by-step explanation:
In this problem we have a exponential equation of the form
[tex]y=a(b^x)[/tex]
where
y is the population of the city
x is the number of years
a is the initial value or y-intercept
b is the base
r is the rate of growth
b=(1+r)
we have
[tex]a=100,000\ people\\r=8\%=8/100=0.08\\b=1+0.08=1.08[/tex]
substitute
[tex]y=100,000(1.08^x)[/tex]
For x=17 years
substitute the value of x in the exponential equation and solve for y
[tex]y=100,000(1.08^17)[/tex]
[tex]y=370,002\ people[/tex]
