In 2018, the population will grow over 700,000.the population of a city in 2010 was 450,000 and was growing at a rate of 5% per year. in what year will the population be over 700,000? show all work.

The year is 2020.

Step-by-step explanation:

Let the number of years passed since 2010 to reach population more than 7000000 be 'x'.

Given:

Initial population is,

Growth rate is,

Final population is,

A population growth is an exponential growth and is modeled by the following function:

Taking log on both sides, we get:

Plug in all the given values and solve for 'x'.

So, for , the population is over 700,000. Therefore, from the tenth year after 2010, the population will be over 700,000.

Therefore, the tenth year after 2010 is 2020.