Answer:
The value of the constant is 3
Step-by-step explanation:
Let
y ----> the height
x ----> the width
we have

This is the equation of a linear direct variation
The equation of the line passes through the origin
we have the points
(0.5,1.5), (2,6) and (3,9)
see the attached figure to better understand the problem
Find the value of the constant of proportionality k
For (0.5,1.5) ---->
For (2,6) ---->
For (3,9) ---->
therefore
The value of k is equal to 3
The linear equation is

or

POOPY HEAD ATE THE RELATIONSHIP
3/4 foot is 9 inches, and 4 1/2 feet is 54 inches, so, 54/9 makes exactly 6 pieces of string.
There approximately 7133 books in the library;
Data;
- Let the number of total books = x
- Number of fictional books = 3/4x
<h3>Word Problem</h3>
To solve this problem, we simply need to use an equation to explain the word problem into mathematical statements.
Let the total number of books be represented by x
The number of fictional books = 3/4x
After 592 fictional books were donated;

Let collect like terms and solve

There approximately 7133 books in the library;
Learn more on word problems here;
brainly.com/question/13818690