Solution
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given terms
![\begin{gathered} 1\text{ }pound=\text{ \$}4.00 \\ 2(1)/(4)pounds\text{ was bought} \\ tax=7\%=(7)/(100) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/1bo9sc0gy1xwm28odk7m814emfm8aaasgu.png)
STEP 2: Find the amount of the lumber bought
![\begin{gathered} 1\text{ }pound=\text{ \$}4.00 \\ 2(1)/(4)\text{ pound}=4*(9)/(4)=1*9=\text{ \$}9 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/b686ybyva0q8laje41eyucbdhes5q7t1ka.png)
STEP 3: Find the amount of tax added
![7\%\text{ }of\text{ \$}9=(7)/(100)*9=(63)/(100)=\text{ \$}0.63](https://img.qammunity.org/2023/formulas/mathematics/high-school/q986215i65s9m1fcqjtipw5llvthk0objw.png)
STEP 4: Find the total amount paid by michael
To get this, we add the tax to the amount initially paid
![\text{ \$}9.00+\text{ \$}0.63=\text{ \$}9.63](https://img.qammunity.org/2023/formulas/mathematics/high-school/9l8221almooyghbyql5bv4uzgpsmis0ppx.png)
Hence, the amount paid by Michael is $9.63