Question

Dexter has 56 tiles left from tiling his bathroom floor, and he would like to use them to tile the front entrance of his house. Each tile has an area of 36in?. The function A(C) = 36t represents the area, A(t), in square inches that t tiles cover. Select the domain and range that are reasonable for the function.

Answer 1

we have the function

`A(t)=36t`

this is a linear equation (equation of the line)

the domain is all the possible values of t

Remember that the number of tiles are 56

so

the domain is the interval {0,56}

so

the answer for domain is the option B

The range is the set of all possible values of A(t)

Remember that

For t=0

A(t)=0

For t=56

A(t)=36(56)=2,016 in^2

so

the range is the interval {0, 2,016}

answer for range is the option F