Answer:
A. The variation of the equation is
[tex]H=\frac{1}{2}L[/tex]B. H is 10 when L is 20
Explanation:
Given that H varies directly as L, this can be written as:
[tex]H\propto L[/tex]and defined as:
[tex]H=kL[/tex]where k is constant.
To find the value of k, we use the given values H = 15 when L = 30
[tex]15=30k[/tex]Divide both sides by 30
A.
[tex]k=\frac{15}{30}=\frac{1}{2}[/tex]Therefore, the formula is:
[tex]H=\frac{1}{2}L[/tex]B.
We want to determine H when L is 20
[tex]H=\frac{1}{2}(20)=10[/tex]H is 10 when L is 20