The equation which represents the height of the books is [tex]s(b)=\frac{5}{4} b[/tex]
A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. An equation between two sums of monomials of degree 0 or 1 is known as a linear equation.
The books are stacked one above the other and each book is [tex]1\frac{1}{4}[/tex] inches thick.
So to calculate the total height of the stack we have to multiply the number of books in the stack with the thickness of each book.
The total thickness is represented in the from of a function as
s(b) and the thickness of each book is [tex]1\frac{1}{4}=\frac{5}{4}[/tex] inches
total height=[tex]\frac{5}{4}\times b[/tex]
Therefore the required equation is [tex]s(b)=\frac{5}{4} b[/tex].
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