ANSWER
Option 3
EXPLANATION
We have that the function that represents the value of the inheritance is:
[tex]A(m)=4700(1.22)^{(m\text{ + 30)}}[/tex]
To find an equivalent ratio, we have to understand the law of indices that states that:
[tex]x^{\text{a + b}}=x^{a^{}}\cdot x^b[/tex]
So, we can split the function as:
[tex]\begin{gathered} A(m)\text{ = 4700 }\cdot(1.22)^{m\text{ + 30}} \\ \Rightarrow\text{ A(m) = 4700 }\cdot(1.22)^m\cdot(1.22)^{30} \\ \Rightarrow A(m)=4700(1.22)^m(1.22)^{30} \end{gathered}[/tex]
The answer is Option 3.