Q:

Please respond to the question below in your own words with proper explanationsand use of math vocabulary.CRQ #13: Don works in home construction. He determined that thefunction t(A)=144A/9.252 gives the total number of 9 in. tiles needed to coveran area of A square feet, when spacing the tiles a quarter inch apart.Find t(400) and explain what it means.Please help me

Accepted Solution

A:
Answer:[tex]t(400)=673[/tex]. It means that 673 of 9 inch tiles are required to cover an area of 400 square feet, when spacing the tiles a quarter inch apart.Step-by-step explanation:Given:The function relating number of 9 inch tiles required and area to cover is:[tex]t(A)=\frac{144}{9.25^2}A[/tex]Now, plug in 400 for [tex]A[/tex] to evaluate [tex]t(400)[/tex].[tex]t(400)=\frac{144}{9.25^2}\times 400=\frac{144\times 400}{85.5625}=\frac{57600}{85.5625}=673.19\approx6225[/tex]Therefore, Don required  673 of 9 inch tiles to cover an area of 400 square feet, when spacing the tiles a quarter inch apart.