Question

Don works in home construction. He determined that the function t(A)=144a/9.25^2 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.

Answer 1

Answer:

$t(400)=673$.

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

Step-by-step explanation:

Given:

The given function is:

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

Here, $A$ represent the area to be covered, $t$ represent the number of tiles required to cover the given area.

So, if $A=400$, it means that the area to be covered is 400 square units.

Now, if we find $t(400)$, it means we need to find the number of 9 inch tiles to cover area of 400 units.

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

$t(400)=\frac{144}{9.25^2}\times 400=\frac{144\times 400}{85.5625}=\frac{57600}{85.5625}=673.19\approx673$

Therefore, 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.