Question

Erik is building a cubby bookshelf, that is, a book shelf divided into storage holes (cubbies) instead ofshelves. He wants the height of the bookshelf to be x2 – 8x - 9 and the width to be x2 + 4x + 3. Eachcubby hole in the bookshelf will have a height of x + 3 and width of x - 9.Step 1 of 3: Write a rational expression to determine how many cubbies high the book shelf will be.

Answer 1

Step by step explanation

Lets first make a diagram of the problem:

We must determine how many cubbies fits in the height and width, so for the height we have:

$\frac{x^2-8x-9}{x+3}$

That is the rational expression to determine how many cubbies high the book shelf will be.