Step 1
[tex]\begin{gathered} \text{Height(h)}\propto number\text{ of books(n)} \\ H\propto n \\ \text{Adding k the constant of proportionality} \\ H\text{ = kn} \\ k=\frac{H}{n} \end{gathered}[/tex]
Step 2
A)Find the constant of proportionality K when n = 10 books and h = 12 inches
[tex]k=\frac{12}{10}=1.2[/tex]
Step 3
B) Write an equation that relates H and n by substituting for k
[tex]H=1.2n[/tex]
Step 4
C) Find the height, H of the stack of 24 books
[tex]\begin{gathered} H\text{ }=\text{ 1.2 }\times24 \\ H=28.8\text{inches} \end{gathered}[/tex]
