Question

find the variation constant and an equation of variation where y varies inversely as x and y = 1 when x = 7.

the variation constant is .
the equation of variation is y = .

Explanation:

Set up the inverse variation equation

Using the Inverse Variation knowledge point

$$ y = \frac{k}{x} $$

Substitute the given values to find the constant

Using the Constant of Variation and Inverse Variation knowledge points

$$
LATEXBLOCK0
$$

Write the final equation of variation

Using the Inverse Variation and Constant of Variation knowledge points

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

Answer:

Find the variation constant and an equation of variation where y varies inversely as x and y = 1 when x = 7.

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