Select all the factors of: 7x2 − 28 options: 7 7x (x + 2) (x − 2) (x2 + 4)
1 answer:
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ANSWER and EXPLANATION
The population of lions is modeled by the equation:
where t = number of years since 2005.
(a) To find the number of lions there in 2005, we have to find P when t is 0:
There were 1500 lions.
(b) The given function is an exponential function. The exponential factor in the function is 0.98.
In an exponential function, when the exponential factor is less than 1, it means that the function is a decay, hence, it is a decreasing function.
Hence, the population of lions was decreasing over the decade.
(c) Since 2015 is 10 years after 2005, to find the population of lions in 2015, we have to find P when t is equal to 10.
That is:
That is the answer.