Question

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

Answer 1

Answer:

$t(400)=673$.

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:

$t(A)=\frac{144}{9.25^2}A$

Now, plug in 400 for $A$ to evaluate $t(400)$.

$t(400)=\frac{144}{9.25^2}\times 400=\frac{144\times 400}{85.5625}=\frac{57600}{85.5625}=673.19\approx6225$

Therefore, Don required  673 of 9 inch tiles to cover an area of 400 square feet, when spacing the tiles a quarter inch apart.