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Determine the constant of variation if y varies directly as x and y is 50 when x is 10. a. 500 b. 50 c. 10 d. 5

Sagot :

DIRECT VARIATION

Determine the constant of variation if y varies directly as x and y is 50 when x is 10. (Choices: a. 500, b. 50, c. 10, d. 5)

Answer:

[tex] \large \blue{ \tt \bold{d. \: 5}}[/tex]

Step-by-step explanation:

First, fill in the given in the equation y=kx and then substitute it.

[tex]y = kx \\ 50 = 10k \\ \frac{50}{10} = \frac{ \cancel{10}k}{ \cancel{10}} \\ \bold{5 = k}[/tex]

Hence, the constant of variation is 5.