If y = 45 when x = 9, find the direct variation equation that relates y and x
Y = KX.
Y = 5X.
To find the direct variation equation that relates y and x, we need to determine the constant of variation. The constant of variation represents the ratio between the two variables.
Let's form the equation by substituting the given values into the formula:
k = y / x
Plugging in the given values: y = 45 and x = 9
k = 45 / 9
k = 5
Now that we have the value of the constant of variation (k = 5), we can form the direct variation equation:
y = kx
Substituting the value of k:
y = 5x
Therefore, the direct variation equation that relates y and x is y = 5x.
To find the direct variation equation that relates y and x, we can use the formula for direct variation: y = kx, where k is the constant of variation.
We are given that when x = 9, y = 45. We can substitute these values into the formula to find the value of k.
45 = k * 9
To find the value of k, we can solve this equation for k:
k = 45 / 9
Simplifying, we get:
k = 5
Now that we have the value of k, we can write the direct variation equation that relates y and x:
y = 5x