Assume y varies directly as x.
If x = 24 when y = 24, what is the value of
k?
If y varies directly with x, then there is a relation
y=kx .....(1)
where k is a constant.
Substitute x=24, y=24 into equation one and find the value of k.
Y= KX
24 = K(24)
24/24 = K
1= K
To find the value of "k" in a direct variation relationship, we need to set up the equation and plug in the given values.
In a direct variation, we have the equation y = kx, where "y" is the dependent variable, "x" is the independent variable, and "k" is the constant of variation.
Given that x = 24 when y = 24, we can substitute these values into the equation:
24 = k * 24
Now we can solve for "k" by dividing both sides of the equation by 24:
k = 24 / 24
Simplifying this expression, we get:
k = 1
Therefore, the value of "k" is 1.