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.

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b