Algebra 1B Question!!!?
Suppose 20 wolves are released in northern Michigan and the yearly growth factor for this population is expected to be 1.2
a) Make a table showing the projected number of wolves at the end of each of the first 6 years.
b) Write an equation the models the growth pattern of the wolf population.
c) How long will it take for the new wolf population to exceed 100?
qa
year … 0 . 1 .. 2 …. 3 .. 4 …. 5 …. 6
wolves 20 24 28.8 34.6 41.5 49.8 59.7 rounded to 1 dp
qb
n = 20*1.2^t
——————
qc
100 = 20*1.2^n
1.2^n = 5
n = ln 5/ln1.2 = 8.8
=> 9
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