ANSWER
![\begin{equation*} 8\text{ }inches \end{equation*}](https://img.qammunity.org/2023/formulas/mathematics/college/8nhf3fkf4mooaeqfr4d5984q76emh7djnd.png)
Step-by-step explanation
We want to find how many inches Tom grew.
To do this, first, convert the heights from feet/inches to inches. To convert from feet to inches, use the conversion rate:
![1\text{ }ft=12\text{ }in](https://img.qammunity.org/2023/formulas/mathematics/college/k268k97zeroi917dyu09u28heoebizjei7.png)
Therefore, the heights in inches are:
![\begin{gathered} 3\text{ }ft\text{ }4\text{ }in=(3*12)+4=36+4=40\text{ }in \\ 4\text{ }ft=4*12=48\text{ }in \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/t84iexpnoogw36836ycmyds25i459micm0.png)
The number of inches that Tom grew can be found by calculating the difference between the two heights.
That is:
![\begin{gathered} 48-40 \\ \Rightarrow8\text{ }inches \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/9fiq2u1nx943684tvh0lizrtlm9wugx24b.png)
That is the answer.