A city’s current population is 1,000,000 people. It is growing at a rate of 3.5% per year. The equation P = 1,000,000(1.035)x models the city’s population growth where x is the number of years from the current year. In approximately how many years will the population be 1,200,000?

Question

A city’s current population is  1,000,000 people. It is growing at a rate of 3.5% per year. The equation P = 1,000,000(1.035)x models the city’s population growth where x is the number of years from the current year. In approximately how many years will the population be 1,200,000?

anonymous · Answer

1,200,000=1,000,000(1.035)x 
Find x.

anonymous · Answer

do i subtract?

anonymous · Answer

No, The right side consists of multiplication terms. So when they come to the left side, they divide 1200000.
$$\Large x=\frac{1,200,000}{(1,000,000)(1.035)}$$

anonymous · Answer

when i do that i come up with 1.242

anonymous · Answer

No, you get 1.159. This can be rounded off to 1 year.

anonymous · Answer

so the answer is 1 year?

anonymous · Answer

yup.

anonymous · Answer

Medal please...:)