A scientist is studying wildlife. She estimates the population of bats in her state to be 326,000. She predicts the population t
o grow at an average annual rate of 1.4%. Using the scientist’s prediction, create an equation that models the population of bats, y, after x years.
1 answer:
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Answer: Option 'A' is correct.
Step-by-step explanation:
Since we have given that
Rational numbers are those numbers which can be written as p/q form or it must be non terminating but recurring number.
-13 can be written as p/q form as
is a rational number because of its form.
81 can be written in p/q form as
But √2 is non terminating and non recurring number.
Hence, √2 is not a rational number.
Therefore, Option 'A' is correct.
<h2>Answer:</h2>
The correct options are:
- The domain is all real numbers.
- The base must be less than 1 and greater than 0.
- The function has a constant multiplicative rate of change.
We know that the exponential function is given by:
where a>0 and b are constants.
Also, it represents a growth function if b>1
and a decay function if 0<b<1
where b is the base.
- x belongs to whole of the real numbers( since the exponential function is well defined for all the real values of x.
Hence, the domain of the function is all the real numbers )
- Also, the graph of a decay function decreases continuously i.e. with the increasing input value the output value decreases.
- The exponential decay function always have a constant multiplicative rate of change i.e. b.