Answer:
Step-by-step explanation:
model for the population of Linwood is:
L=9156(1.06)t
So if for some unknown time point t, we have L=9850, we can simply set our model above equal to 9850 and solve for t.
9850 = 9156(1.06)t
9850/9156 = (1.06)t
To isolate t, we need to remove it from the exponent. To do this, we take the natural log of both sides. When t is an exponent inside of the log, we can pull it out of the log as a constant multiplier.
[Remember b*ln(a) = ln(ab)]
ln(9850/9156) = ln(1.06t) = t*ln(1.06)
Hence, t = ln(9850/9156) / ln(1.06). Plug this into your calculator and you are set!