Question

A town's population has been growing linearly. In 2003, the population was 59.000 and the population has been growing by 1,700 people each year. a. Write a formula for the population x years after 2003. b. What will the town's population be in 2007? c. In what year will the population be 77,700 people?

Answer 1

In 2003, the population was 59000 and the population has been growing by 1,700 people each year.

A.

The equation will be:

59000+1700x = (population 'x' years after 2003)

For x, you plug in the amount of years after 2003.

Like if it is the year 2003, the population is
`59000+1700(0)`

= 59000

when it is year 2005, the population is
`59000+1700(2)`

= 62400

B.

The town's population in 2007 will be :

`(2007-2003=4)`

`59000+1700(4)`

Population = 65800

C.

`59000+1700x=77700`

=>
`1700x=18700`

x = 11

Means
`2003+11=2014`

Hence, by year 2014 the population will be 77700.