Answered

IDNLearn.com connects you with a community of knowledgeable individuals ready to help. Join our interactive community and access reliable, detailed answers from experienced professionals across a variety of topics.

Dexter has 44 tiles left over 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 9 in. squared. The function A(t) = 9t represents the area A(t), in square inches< that t tiles cover. What domain and range are reasonable for the function?

Sagot :

Thisisbenmanleyidn
The domain is the acceptable values of x in the function.  In this case, x = t, the number of tiles.  If you think about it, the minimum number of tiles is 0 (you can't have a negative number of tiles), and the maximum number of tiles is 44 (you only have 44 tiles).  So, the domain for this function is from 0 to 44.

0 to 44 written in interval notation is [0,44].

The range is the acceptable values of y in the function.  In this case, y = A, the area given.  A(t) = 9t, so you can use the acceptable values of t to get the range.  Again, the minimum area is 0 because you can't have negative area. To find the maximum area, plug in the maximum number of tiles: 9.

A(t) = 9t
A = 9(44)
A = 396

With the maximum number of tiles, 44, the area you get is 396 cm².  Therefore, the acceptable values of A are from 0 to 396.

0 to 396 written in interval notation is [0, 396].
Your engagement is important to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. For clear and precise answers, choose IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.