Acity has 180,000 residents. the population is increasing at the rate of 9% per year. make a prediction for how long it will take for the population to reach 300,000. round your answer to the nearest tenth of a year. the population will reach 300,000 in approximately how many years.

In one year, the population will increase by 9% of its original size, that is, , which is the population multiplied by 1.09.

The next year, the population will be again multiplied by 1.09: .

We can write the trend as an equation:
P = 180000(1.09)^n, where n is the number of years and P is the population after n years.

To find the number of years for for the population to reach 300,000, we can substitute 300,000 into our equation and solve for n.