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Let b(t) be the number of unread books remaining on alex’s bookshelf after reading consistently for t months

Let b(t) be the number of unread books remaining on alex’s bookshelf after reading-example-1

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The Solution.

The given function that defined the number of books left unread after reading for t months is


b(t)=75-5t

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}

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.

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