Joseph's lunch costs $13 without tax.
He leaves the waiter a tip of 17% OF THE COST OF THE LUNCH. This means Joseph leaves a tip of
13 + (13 x 17%) = Total cost
Remember, the question specificies that his lunch is paid without tax. Therefore;
[tex]\begin{gathered} \text{Cost}=13.00 \\ \text{Tip}=13\times0.17\text{ (equals 2.21)} \\ (\text{Note that 17\% is mathematically written as 0.17)} \\ \text{Total cost of lunch}=\text{Cost}+\text{Tip} \\ \text{Cost}+\text{Tip}=13+2.21 \\ \text{Cost}+\text{Tip}=15.21 \\ \text{Total cost of lunch=\$15.21} \end{gathered}[/tex]The total cost of the lunch is $15.21