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.