Question

The population of people in a town increases by 100 each year. Which equation represents the situation? Let p represent the amount the population has increased and t represent the number of years.t = 100 + pp = 100 + tt = 100pp = 100t

Answer 1

From the problem, the population increases by 100 each year.

a constant increase of 100 means that the slope of a line is 100.

Slope is the same as constant increase or rate of increase.

The equation of the line with a slope is :

`y=mx+b`

where m is the slope and b is the initital population.

Since we dont have an initital population, b = 0.

The equation will be :

`y=100x`

It is stated also that P represents the population that has increased. So y will be p.

and t represent the number of years. So x will be t.

That will be :

`p=100t`

ANSWER :

The equation is p = 100t