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vova2212 [387]
3 years ago
7

In 2009 there was an endangered population of 270 cranes in a western state. Due to wildlife efforts, the population is increasi

ng at a rate of 5% per year.
a. What exponential function would be a good model for this population of cranes?
b. If this trend continues, how many cranes will there be in this population in 2020?
Mathematics
1 answer:
Vitek1552 [10]3 years ago
8 0
Assuming compount interest format

A=P(r+1)^t for compounded per 1 year
A=future amount
P=present amount
r=rate in decimal
t=time in years


given
P=270
r=5%=0.05

the equaton is
A=270(0.05+1)^t or
A=270(1.05)^t
for any year, 2009, is year 0, so if you wanted to input the year then
A=270(1.05)^{t-2009} would be for t=what year it was

A. f(x)=270(1.05)^t


b. 2009 to 2020
2020-2009=11 years
t=11
f(11)=270(1.05)^{11}
f(11)=461.792
about 462 cranes


A. f(x)=270(1.05)^t
B. about 462
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