91Ó°ÊÓ

Determine whether the table represents an inverse variation. Explain.

Carl’s father is building a tool chest that is shaped like a rectangular prism. He wants the tool chest to have a surface area of 62 square feet. The height of the chest will be 1 foot shorter than the width. The length will be 3 feet longer than the height.

a. Sketch the model to represent the model.

b. Write a polynomial that represents the surface area of the tool chest.

c. What are the dimensions of the tool chest?

State whether each sentence is true or false. If false, replace the underlined word, phrase, expression, or number to make a true sentence.

A rational expression is a fraction in which the numerator and denominator are fractions.

Graph an inverse variation equation in which$y=16$when$x=4$.

State the excluded value for the function.

$\mathit{y}\mathbf{=}\frac{\mathbf{2}}{\mathbf{x}}$

State the excluded value for the function.

$\mathit{y}\mathbf{=}\frac{\mathbf{1}}{\mathbf{x}\mathbf{−}\mathbf{6}}$