The equation 4y = 9x represents a proportional relationship. What is the constant of proportionality?
y is proportional to x with constant
y/x = 9/4
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Oobleck is right for usatp
To find the constant of proportionality in a proportional relationship, we need to rearrange the equation into the form y = kx, where k represents the constant of proportionality.
In this case, we have 4y = 9x. To rearrange it, we can divide both sides of the equation by 4 to get y alone on one side:
4y / 4 = 9x / 4
Simplifying, we have:
y = (9/4)x
Now we can see that the equation is in the form y = kx. The constant of proportionality, k, is the coefficient of x, which in this case is 9/4.
Therefore, the constant of proportionality is 9/4.