Answer:
Part 1) Australia 
Part 2) China 
Part 3) Mexico 
Part 4) Zaire 
Step-by-step explanation:
we know that
The equation of a exponential growth function is given by

where
P(t) is the population
t is the number of years since year 2000
a is he initial value
r is the rate of change
Part 1) Australia
we have

substitute


Find the expected population in 2025,
Find the value of t
t=2005-2000=5 years
substitute the value of t in the equation

Part 2) China
we have

substitute


Find the expected population in 2025,
Find the value of t
t=2005-2000=5 years
substitute the value of t in the equation

Part 3) Mexico
we have

substitute


Find the expected population in 2025,
Find the value of t
t=2005-2000=5 years
substitute the value of t in the equation

Part 4) Zaire
we have

substitute


Find the expected population in 2025,
Find the value of t
t=2005-2000=5 years
substitute the value of t in the equation

1-0/-1-0 = -1
Y- 0 = -(x-0)
Y=-x
Y - 1 = -(x+1)
Y-1= -x-1
Y = -x
Answer:
From the points, the x coordinates are the same. With this similarity, the slope of the line would be undefined and it would result as an error to the point-slop formula of the line.
Answer:
The parent function is 
That Parabola's equation is 
Step-by-step explanation:
I can't really explain much, but the top equation is a formula for <em>all </em>equations for a parabola. h and k are the x and y-values of the vertex. a is, well, a.
How did I find the equation of the parabola? Simple. Since the vertex is on the origin, h and k are 0. Also, because it intercepts (2,4) and (1,1), a=1.