For each equation, determine whether it represents a direct variation, an inverse variation, or neither.
Find the constant of variation when one exists and write it in simplest form.

Question

02-08-2022
Mathematics

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For each equation, determine whether it represents a direct variation, an inverse variation, or neither.
Find the constant of variation when one exists and write it in simplest form.

Sagot :

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MrRoyal MrRoyal · Answer 1 · 2022-08-03T12:19:37-04:00

The equation 15x + 5y = 0 is a direct variation and the constant of variation is -3 while the equation -5x + 8y = 3 is neither a direct variation nor an inverse variation

How to categorize the type of each equation?

As a general rule, we have the following forms of equation:

Direct variation: y =kx

Inverse variation: y = k/x

Where k represents the constant of variation

The equations 15x + 5y = 0 can be rewritten as:

5y = -15x

Divide by 5

y = -3x

The above equation take the form y = kx

This means that k = -3

Hence, the equation 15x + 5y = 0 is a direct variation and the constant of variation is -3

However, the equation -5x + 8y = 3 do not take any of the given forms

Hence, the equation -5x + 8y = 3 is neither a direct variation nor an inverse variation

For each equation, determine whether it represents a direct variation, an inverse variation, or neither. Find the constant of variation when one exists and write it in simplest form.

Sagot :

How to categorize the type of each equation?

Other Questions

For each equation, determine whether it represents a direct variation, an inverse variation, or neither.
Find the constant of variation when one exists and write it in simplest form.