Question

3.) If y varies directly as x and y = 24 when x = 6, find the variation constant and the equation of variation.​

Answer 1

Problem:-

3.) If y varies directly as x and y = 24 when x = 6, find the variation constant and the equation of variation.

Solution:-

A. Express the statement “y varies directly as x”, as y = kx .

B. Solve for k by substituting the given values in the equation.

`\sf\rightarrow{y = kx}`

`\sf\rightarrow{24 = 6k}`

`\sf\rightarrow{K = (24)/(6) }`

`\sf\rightarrow{K={\color{magenta}{4}}}`

Answer:-

• Therefore, the constant of variation is 4.

C. Form the equation of the variation by substituting 4 in the statement y = kx. Thus , y = 4 x.

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