Suppose y varies directly with x. Write a direct variation equation that relates x and y.
y equals 10.4.whenx equals 4.Suppose y varies directly with x. Write a direct variation equation that relates x and y.
y equals 10.4.whenx equals 4.Suppose y varies directly with x. Write a direct variation equation that relates x and y.
y equals 10.4.whenx equals 4.
The direct variation equation that relates x and y is y = kx, where k is the constant of variation.
To find the value of k, we can substitute the given values of x and y into the equation.
When x = 4 and y = 10.4, we have:
10.4 = k * 4
Dividing both sides by 4, we get:
k = 10.4 / 4
Simplifying this, we find:
k = 2.6
Therefore, the direct variation equation that relates x and y is:
y = 2.6x
To write a direct variation equation that relates x and y, we can use the form y = kx, where k represents the constant of variation.
In this scenario, we are given that y equals 10.4 when x equals 4. Plugging these values into the equation, we get:
10.4 = k * 4
To solve for k, divide both sides of the equation by 4:
10.4 / 4 = k
Simplifying, we find:
2.6 = k
Therefore, the direct variation equation that relates x and y is:
y = 2.6x