From 1990 to 2006, the population, p (in millions), of a large city can be modeled by p = 1.1(1.05)t, where t is the number of years since 1990.
2 answers
Incomplete.
I think you mean
p = 1.1(1.05)^t
Now just plug in various values for t and p to answer questions.
For example, after 7 years (1997)
p = 1.1 * 1.05^7 = 1.55
How long will it take p to grow by 46%?
1.1*1.46 = 1.1 * 1.05^t
1.05^t = 1.46
t = log(1.46)/log(1.05) = 7.76
p = 1.1(1.05)^t
Now just plug in various values for t and p to answer questions.
For example, after 7 years (1997)
p = 1.1 * 1.05^7 = 1.55
How long will it take p to grow by 46%?
1.1*1.46 = 1.1 * 1.05^t
1.05^t = 1.46
t = log(1.46)/log(1.05) = 7.76
1 answer