H varies directly as L. If H = 15 when L = 30, determine H when L = 20A. Write the variation of the equation.B. Determine the value of the quantity indicated.

Respuesta :

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