For the direct variation equation y = 2 2/3 * x what is the constant of proportionality? (1 point)
The constant of proportionality is 2 2/3.
To find the constant of proportionality in the direct variation equation, you need to compare the ratios of the variables. In this case, the equation given is y = 2 2/3 * x.
To determine the constant of proportionality, you can rewrite the equation in the form y = kx, where k represents the constant of proportionality.
To do this, simplify the fraction 2 2/3:
2 2/3 = (3 * 2 + 2)/3 = (6 + 2)/3 = 8/3
So, the equation can be written as y = (8/3) * x.
Comparing this equation to y = kx, we can see that the constant of proportionality, k, is equal to 8/3.
Therefore, the constant of proportionality for the given direct variation equation is 8/3.
To find the constant of proportionality in a direct variation equation, we need to compare the value of y to the value of x.
In the equation y = 2 2/3 * x, we have the constant term 2 2/3. However, in direct variation equations, the constant of proportionality is usually written as a fraction in the form k = y/x.
To determine the constant of proportionality, we can rewrite the equation in the form y = kx:
y = 2 2/3 * x
To convert the mixed number 2 2/3 to an improper fraction, we multiply the whole number by the denominator and add the numerator. Thus, 2 2/3 is equivalent to (6 * 2 + 2) / 3 = 14/3.
Substituting this value into the equation, we have:
y = 14/3 * x
Comparing this equation to the standard form of a direct variation equation, y = kx, we can see that the constant of proportionality (k) is 14/3.
Therefore, the constant of proportionality in the given direct variation equation is 14/3.