Question

It is estimated that the city of Houston, Texas, will double in size every 35 years. If the population is currently 2.4 million people, how many people will there be in 20 years? 4.8 million

Answer 1

It is estimated that the city of Houston, Texas, will double in size every 35 years:
P=Po(2)^(t/35)

If the population is currently 2.4 million people:
Po=2.4 millions

How many people will there be in 20 years?
t=20 years, P=?

P=(2.4 millions)(2)^(t/35)

P=(2.4 millions)(2)^(20/35)
P=(2.4 millions)(2)^(0.571428571)
P=(2.4 millions)(1.485994289)
P=3.566386294 millions
P=3.6 millions

Answer: There will be 3.6 million people in 20 years.

Answer 2

Answer:

approximately 4.0457 million people.

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

To solve this problem we first need to calculate how many people are added to the population every year. Since the population doubles every 35 years, then this means that in 35 years the population will increase by 2.4 people. So we need to divide 2.4 by 35 years to find the increase in population per year.

$\frac{2.4 million}{35 years} = 0.06857$

So the population increases by approximately 0.06857 million people per year. So in 24 years the population will increase by...

$0.06857 * 24 = 1.6457$

1.6457 million people. Now we add this to the current population to calculate the total population in 24 years time.

$2.4+1.6457 = 4.0457$

In 24 years Houston, Texas will have a population of approximately 4.0457 million people.

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