Final answer:
The equation that expresses the relationship between the total cost (t) and the number of books (b) purchased is t = 23.36b.
Step-by-step explanation:
To express the relationship between the total cost (t) and the number of books (b) purchased, we can use the equation t = b*c, where c represents the cost of each book. In this case, we know that the school bought 27 books and the total cost was $630.72, so we can substitute these values into the equation:
t = 27*c
630.72 = 27*c
To solve for c, we divide both sides of the equation by 27:
c = 630.72/27 = $23.36
Therefore, the equation that expresses the relationship between the total cost (t) and the number of books (b) is t = 23.36b.