To determine the value of B(6), simply replace "x" with 6 in the given function.
[tex]\begin{gathered} B(x)=340-25x \\ B(6)=340-25(6) \end{gathered}[/tex]Then, solve.
First, multiply 25 and 6. Then, subtract the result from 340.
[tex]\begin{gathered} B(6)=340-150 \\ B(6)=190 \end{gathered}[/tex]Therefore, the value of B(6) is 190.
This means, after 6 weeks, Larry will have $190 left in his bank account since he spends $25 per week for lunch.
c. For B(9) = 115, this means that after 9 weeks, from $340, Larry will have $115 left in his bank account since he spends $25 per week for lunch.