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


We need to solve the speed formula for d. To do so, let's start by moving the number of the left hand side:

Square both sides to get rid of the square root:

Now plug the known value of the speed to find the distance:

So the closest answer is the last one: d=0.155km
A dilation means that a shape is expanded or shrunk by a scale factor. The scale factor is 4, so all the points are multiplied by 4 to reflect this expansion.
A reflection over the y-axis means that the y-values in the points change their sign from positive to negative, and vice versa.
Therefore, the points will become the following:
A''(12,-12), B''(-4, -12), C''(-16,-4), D''(0, -4)
This new shape will be similar to the original shape, since it shares the same shape, but not the same size.
The answer is A.