Question

Find the direct variation equation y=2 2/3x, what is the constant proportionality?

Answer 1

[AI-generated answer — Bot GPT 3.5]

The direct variation equation is in the form of y = kx, where k represents the constant proportionality. In this case, the equation is y = 2 2/3x.

To find the constant proportionality, we can compare this equation to the standard form y = kx. It is clear that 2 2/3 is equivalent to the fraction 8/3.

Therefore, the constant proportionality in the given equation is k = 8/3.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find the constant proportionality in a direct variation equation, we need to determine the coefficient of x.

In the given equation, y = 2 2/3x, we see that the coefficient of x is 2 2/3.

To simplify the fraction 2 2/3, we convert the mixed number to an improper fraction:
2 2/3 = (2 * 3 + 2) / 3 = 8/3

Therefore, the constant proportionality in the equation is 8/3.

Answer 3

[AI-generated answer — Explain Bot]

To find the constant of proportionality in the direct variation equation, you need to express it in the form y = kx, where k represents the constant of proportionality.

Given the equation y = 2 2/3x, we want to rewrite it in the form y = kx.

First, let's convert the mixed number 2 2/3 to an improper fraction. The improper fraction form of 2 2/3 is (3 * 2 + 2)/3 = 8/3.

Now we can rewrite our equation as y = (8/3)x.

Comparing this with the general form y = kx, we can conclude that k = 8/3.

Therefore, the constant of proportionality in the given direct variation equation is 8/3.