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Let [tex][tex]$b(t)$[/tex][/tex] be the number of unread books remaining on Alex's bookshelf after reading consistently for [tex][tex]$t$[/tex][/tex] months. Given that [tex][tex]$b(t) = 75 - 5t$[/tex][/tex], find [tex][tex]$b(9)$[/tex][/tex].

This means that [tex]b(9) = \square[/tex].

a. The [tex]$\square$[/tex]

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GinnyAnswer
To solve for the number of unread books remaining on Alex's bookshelf after 9 months of consistent reading, we need to use the given function [tex]\( b(t) \)[/tex]. The function is defined as:
[tex]\[ b(t) = 75 - 5t \][/tex]

Let's break down the steps:
1. Identify the function: [tex]\( b(t) = 75 - 5t \)[/tex].
2. Substitute [tex]\( t = 9 \)[/tex] into the function:
[tex]\[ b(9) = 75 - 5 \times 9 \][/tex]

3. Perform the multiplication:
[tex]\[ 5 \times 9 = 45 \][/tex]

4. Subtract the result from 75:
[tex]\[ 75 - 45 = 30 \][/tex]

Therefore, [tex]\( b(9) = 30 \)[/tex].

This means that the number of unread books remaining on Alex's bookshelf after 9 months is 30.

Let’s fill in the missing parts:
[tex]\[ b(9) = 30 \][/tex]
This means that [tex]\( b(t) = 75 - 5t \)[/tex].
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