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Yakvenalex [24]
3 years ago
12

For each equation, determine whether it represents a direct variation, an inverse variation, or neither.

Mathematics
1 answer:
Murljashka [212]3 years ago
8 0

Direct variation is written in the form y = k * x or x = y * k. And, inverse variation is written in the form y = k/x or x = y/k.

For the first problem, if we isolated the y, we would get:

4y = 3x - 1

y = (3/4)x - 1/4

This is written as y = mx + b, which isn’t the form of direct or inverse variation, so the answer is NEITHER.

For the second equation, we could divide by 2 on both sides to isolate x and see if it is in the correct form:

x = 4/y

This is inverse form, so the second question is INVERSE with a constant of variation as 4.

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\begin{gathered} \Sigma xy=\text{ sum of the column of xy} \\ \Sigma x=\text{ sum of the column x} \\ \Sigma y=\text{ sum of the column y} \\ \Sigma x^2=\text{ sum of the column x\textasciicircum2} \\ \Sigma y^2=\text{ sum of the column y\textasciicircum2} \\ n=\text{ number of rows} \end{gathered}

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