Answer:
C. 200
Step-by-step explanation:
Given:
w = 100 , x = 5 , y = 10
Asked:
k = ?
Value of Constant (k).
Solution:
Translate statement [ w varies directly as x and inversely as y ] into equation where k represents the constant of variation. Then, substitute values.
w = [tex]k\frac{x}{y}[/tex]
100 = [tex]k\frac{5}{10}[/tex]
[tex]\frac{100}{1} = \frac{k5}{10}[/tex]
5k = 1000
[tex]\frac{5k}{5} = \frac{1000}{5}[/tex]
k = 200
Therefore, the value of the constant of variation is 200.
Hope this helps.
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