This question is testing one's ability to use properties of exponents to solve and interpret functions as well as identify key concepts of exponential growth and decay such as percent rate of change.

For the purpose of Common Core Standards, properties of exponents to interpret functions falls within the Cluster C of analyze functions using different representations concept (CCSS.MATH.CONTENT.HSF-IF.C.8). 

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Identify what the question is asking for.

Find whether the given function is exponential growth or decay after which, find the function value at 3.

Step 2: Use algebraic techniques to aid in solving the problem.

    I.  represents an exponential growth function.

    II.  represents an exponential decay function.

Step 3: Calculate the percent rate of change.

Recall that  in the previous expressions represent the rate. Therefore, to calculate the percent rate of change simply multiply  by 100.

Step 4: Answer question.

Following the above steps to solve this particular question, results in the following.

Step 1: Identify what the question is asking for.

Find whether the given function is exponential growth or decay after which, find the percent rate of change.

Step 2:

Use algebraic techniques to aid in solving the problem.

Given the function,

use the above expressions to help solve.

Since

the functions can be defined as exponential decay.

Step 3: Calculate the percent rate of change.

From the previous step it was found that,

therefore to solve for percent rate of change multiply by 100.

. 

Step 4: Answer question.

Step 5: Find the function value at 3.

This question is testing one's ability to use properties of exponents to solve and interpret functions as well as identify key concepts of exponential growth and decay such as percent rate of change and function values at specific input values.

For the purpose of Common Core Standards, properties of exponents to interpret functions falls within the Cluster C of analyze functions using different representations concept (CCSS.MATH.CONTENT.HSF-IF.C.8). 

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Identify what the question is asking for.

The question is asking for the amount of money Tina has many after investing for ten years.

Step 2: Use algebraic techniques to aid in solving the problem.

    I.  represents an exponential growth function.

    II.  represents an exponential decay function.

Step 3: Identify what is known.

Step 4: Substitute the known values into the growth function.