Answer:
Part A) 
Part B) 
Step-by-step explanation:
Part A) What is the explicit rule for the number of residents
we know that
In this problem we have a exponential function of the form

where
a is the initial value
b is the base
r is the rate
(1+r)=b
so
Let
y ----> the number of residents
x is the time in years
we have
a=1,000 residents
r=1%=0.01
b=(1+0.01)=1.01
substitute

Part B) How many residents will there be in the town in Year 10?
For x=10 years
substitute in the equation


V = 60 as the triangle is looking like a equilateral triangle
You put all x on left side and numercial on the right side
13x-12x = 4+4
x = 8
A is 24, B is 17, C is 25, D is

. I've attached my work below, hope it helps :)