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

`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.

Explanation:

Given:

The given function is:

`t(A)=(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)=(144)/(9.25^2)* 400=(144* 400)/(85.5625)=(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.