Question

H varies directly as L. If H = 15 when L = 50, determine H when L = 40. Write the variation equation

Answer 1

variation equation is H = 0.3L

Explanation:

given H varies directly as L, then the equation relating them is

H = kL ← k is the constant of variation

to find k , substitute H = 15 , L = 50 into the equation

15 = 50k ( divide both sides by 50 )

`(15)/(50)` = k , that is

k =
`(3)/(10)` = 0.3

H = 0.3L ← equation of variation

when L = 40 , then by substituting into the equation

H = 0.3 × 40 = 12