Question

find the variation constant and an equation of variation where y varies directly as x and y = 7 when x = 34.

the variation constant is .
(type an integer or a fraction.)

the equation of variation is y = .

Explanation:

Set up the direct variation equation

Using the Direct Variation knowledge point

$$ y = kx $$

Solve for the constant of variation

Using the Constant of Variation knowledge point

$$
LATEXBLOCK0
$$

Write the final equation of variation

Using the Direct Variation and Constant of Variation knowledge points

$$ y = \frac{7}{34}x $$

Answer:

Find the variation constant and an equation of variation where y varies directly as x and y = 7 when x = 34.

The variation constant is <blank>\(\frac{7}{34}\)</blank>.
(Type an integer or a fraction.)

The equation of variation is y = <blank>\(\frac{7}{34}x\)</blank>.