For the direct variation equation y=2 2/3
What is the constant of proportionality
Since the equation is in the form y = k, where k represents the constant of proportionality, the constant of proportionality is 2 2/3.
To find the constant of proportionality in a direct variation equation, we need the equation in the form y = kx, where k represents the constant of proportionality.
Given the equation y = 2 2/3, we can rewrite it as y = 8/3.
Comparing this equation to the form y = kx, we can see that the constant of proportionality is k = 8/3.
To find the constant of proportionality in a direct variation equation, we need to rewrite the equation in the form y = kx, where "k" represents the constant of proportionality.
In the given equation y = 2 2/3, we need to convert the mixed number 2 2/3 into an improper fraction.
To convert 2 2/3 into an improper fraction:
- Multiply the whole number (2) by the denominator of the fraction (3), which gives us 2 * 3 = 6.
- Add the result to the numerator (2) of the fraction, which gives us 6 + 2 = 8.
- Use the sum (8) as the new numerator and keep the same denominator (3), which gives us 8/3.
So, the equation y = 2 2/3 can be rewritten as y = 8/3.
Now, comparing the rewritten equation y = 8/3 with the general form y = kx:
- The value of y in the equation y = 8/3 corresponds to the dependent variable.
- The value of x (which is not given) corresponds to the independent variable.
- The constant of proportionality (k) is the unknown quantity we are trying to find.
Since x is not provided in the given equation, we cannot determine the constant of proportionality. In this case, we would need additional information or a different equation that includes both y and x.