Which of the following functions represent exponential decay?

Option C: is the function that represent exponential decay.

Explanation:

The exponential decay can be represented by

where and

Option A:

From the function, we can see that and

Thus, and

Thus, the function does not represent exponential decay.

Hence, Option A is not the correct answer.

Option B:

From the function, we can see that and

Thus, and

Thus, the function does not represent exponential decay.

Hence, Option B is not the correct answer.

Option C:

From the function, we can see that and

Thus, and

Thus, the function represent exponential decay.

Hence, Option C is the correct answer.

Option D:

From the function, we can see that and

Thus, and

Thus, the function does not represent exponential decay.

Hence, Option D is not the correct answer.

here the number -5 is all of the following except a rational number.

step-by-step explanation:

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.