Question

A town's population has been growing linearly. In 2003, the population was 33000, and the population has been growing by 700 people each year.

Write an equation for the population x years after 2003. P(x)=

Answer 1

The equation for population x years after 2003 will be 33000+700x.

Step-by-step explanation:

As we know town's population is growing linearly. It means that it is increasing by the same amount every year.

In 2003, the town's population was 33000 and it is increasing by 700 every year. Here base population i.e. 33000 will be the same only 700 will change with a variable x.

To see how this happens, let's calculate

Population (2003): 33000

Population (2004): 33000+700x, Here x=1, hence, 33000+700(1)= 33700

Population(2005): 33000+700x, Here x=2, hence, 33000+700(2)= 34400..

so on..