Question

When Isabel began her book-selling business, she stored her inventory in her garage. Now that her business has grown, she wants to rent warehouse space. Lisa owns a large warehouse nearby and can rent space to Isabel. The area of the warehouse is 8,100 square feet. Lisa is willing to rent Isabel as little as 100 square feet of the space or up to as much as the entire warehouse. Her only requirement is that all spaces must be square.

The total length of each row of bookshelves will be 45 of the length of the storage space.
Let x be the area of the space that Isabel rents and f(x) represent the total length of a row of bookshelves. How would you find the length of a row of bookshelves? (3 points)

Answer 1

Answer: 90 feet

Explanation:

The function that expresses length f(x) feet, in terms of area x square feet can be written as:

f(x) = sqrt(x)

So, when x = 100 square feet, f(x) = 10 feet,

when x = 121 square feet, f(x) = 11 feet,

when x = 8100 square feet, f(x) = 90 feet

i did what i could do

Answer 2

f(x) = 4 ÷ 5√x

The area is mentioned to be square, so its length will be the square root of x. 4-fifths of that same length are the length of 1 row of the bookshelves, therefore, this is your answer.

➲ Hope it helps!