Given data:
* The starting salary of the Luke in the new company was,
[tex]S_1=53000\text{ dollars}[/tex]* The salary raise given to Luke each year is,
[tex]R=4500\text{ dollars}[/tex](a). The salary of the Luke after 10 years is,
[tex]\begin{gathered} S=S_1+R\times10 \\ S=53000+(4500\times10) \\ S=98000\text{ dollars} \end{gathered}[/tex]Thus, the salary of the Luke after 10 years is 98000 dollars.
(b). After the t years,
[tex]\begin{gathered} S=S_1+R\times t \\ S=53000+4500\times t \\ S=53000+4500t \end{gathered}[/tex]Thus, the salary of the Luke after t years is 53000+4500t .