Mathematics: Find the variation constant and an equation of variation for the given situation. y varies directly as x, and y = 7 when x = 1/2.

Find the variation constant and an equation of

lizzie3545

04.02.2022

$\displaystyle y=14\cdot x$

Step-by-step explanation:

Directly Proportion

It's said that y varies directly proportional as x, if:

$y=k\cdot x$

Where k is a constant of proportionality.

We know that y=7 when x=1/2.

Using the above condition, we can find the value of k:

$\displaystyle 7=k\cdot \frac{1}{2}$

Solving for k:

k=14

Thus, the equation is:

$\boxed{\displaystyle y=14\cdot x}$

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