Question

6. The population of Bay Village is 35,000 today. Every year the population of Bay Village increases by 750people.A. Find an equation that represents the population of Bay Village x years from today.B. In approximately how many years will the population of Bay Village exceed 50,000 people?C. What should we expect the population be after 30 years? Show work please and Thank you

Answer 1

A) P = 35000 + 750x

B) 20 years

C) The population will be 57500. It will have increased by7500 in 10 years

Step-by-step explanation

We have that the population of Bay Village is 35000 at the moment.

The population increases by 750 every year.

A) Let x be the number of years after today.

We have that the population of Bay Village x years from now is:

P = 35000 + 750x

B) To find how many years the population will be 50000, we will replace P with 50000 and then find x:

=> 50000 = 35000 + 750x

750x = 50000 - 350000

750x = 15000

x - 15000 / 750

x = 20 years

In 20 years, the population will be exactly 50000.

C) To find what happens in 30 years, we will replace x with 30 in the formula and then find P:

P = 35000 + 750(30)

P = 35000 + 22500

P = 57500

In 30 years, the population will be 57500. This means that the population has increased by 7500 in 10 years.