I can't seem to get away from these log problems!
At the end of last year, the population of Jason's hometown was approximately 75,000 people. The population is growing at the rate of 2.4% each year.
a) Write a function that models the growth of this city.
This answer is f(x) = 75,000(1.024)^x
b) How many years will it take for the population to reach 100,000 people?
Is the answer 12 or 13 years.......how can you tell because it's between the years!
3 answers
y= 75000(1.024)* in 13 years.
How did you solve this -- I can do it two different ways and in one get 12.something and in another get 13!
You want
75,000(1.024)^x = 100,000
(1.024)^x = 4/3
x log1.024 = log(4/3)
x = log(4/3) / log1.024 = 0.1249/0.0103 = 12.13
75,000(1.024)^x = 100,000
(1.024)^x = 4/3
x log1.024 = log(4/3)
x = log(4/3) / log1.024 = 0.1249/0.0103 = 12.13
1 answer