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smit715674
29.03.2020 •
Mathematics
The population of rabbits on an island is growing exponentially. In the year 1991, the population of rabbits was 9100, and by 1998 the population had grown to 18000. Predict the population of rabbits in the year 2006, to the nearest whole number.
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Ответ:
Step-by-step explanation:
we know that
The equation of a exponential growth function is given by
where
y is the population of rabbits
x is the number of years since 1991
a is the initial value
r is the rate of change
we have
substitute
For the year 1998
the number of years is equal to
x=1998-1991=7 years
so
we have the ordered pair (7,18,000)
substitute in the exponential equation and solve for r
elevated both sides to 1/7
therefore
Predict the population of rabbits in the year 2006
Find the value of x
x=2006-1991=15 years
substitute the value of x in the equation
Ответ:
b on ed
Step-by-step explanation: