The Solution.
The given function that defined the number of books left unread after reading for t months is
![b(t)=75-5t](https://img.qammunity.org/2023/formulas/mathematics/college/ln6rkp4japp95nwy19cymbgiwytdemk261.png)
We shall find b(9), which is, the number of books left unread after reading consistently for 9 months.
![\begin{gathered} \text{Substituting 9 for t in the given function, we have} \\ b(9)=75-5(9) \\ b(9)=75-45 \\ b(9)=30\text{ books} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/fuf2at3c03v10phpzsr1uqd9nc86s0zj7b.png)
This means that 30 books were left unread after reading consistently for 9 months.
The correct answer is 30 books unread after reading for 9 months.