Seth tracks the average number of a plant species found in a forest area. He uses volunteers to help search for the species. The number n of plants found increases by r percent for each volunteer added to the search. Seth found l plants before adding any volunteers.

Part A
Write an exponential growth function that relates the number n of plants found to the number x of volunteers Seth has.

Part B
An appropriate domain of the function is x ≥ 0, where the x-values are:
Choose from one of the following-
Rational Numbers
Whole Numbers
Real Numbers

Explain why you chose that answer:

Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.

The exponential function with dependent variable y and independent variable x can be written as,

[tex]y=ab^x[/tex]

Here, x is the variable in the power of a number.

If the function is an exponential growth function, which is increasing with rate r, then it can be given as,

[tex]f(x)=\left(1+\dfrac{r}{100}\right)^x[/tex]

Here, c is the variable.

Part A- Exponential growth function that relates the number n of plants found to the number x of volunteers Seth has-

The number n of plants found increases by r percent for each volunteer added to the search. Seth found l plants before adding any volunteers.

The number of volunteer is x. Thus, by the above equation,

[tex]n=I\left(1+\dfrac{r}{100}\right)^x[/tex]

Part B- An appropriate domain of the function is x ≥ 0, where the x-values are:

As, the function is exponential and the domain of all exponential function is real number. Thus, the domain of the function has real number.

Learn more about the exponential function here;

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