Suppose y varies directly with x and y= 35 when x=5. Write a direct variation equation that relates x and y.
To write a direct variation equation that relates x and y, we can use the formula:
y = kx
where k is the constant of variation.
Given that y = 35 when x = 5, we can substitute these values into the equation:
35 = k * 5
To find the value of k, we can divide both sides of the equation by 5:
35/5 = k
7 = k
Therefore, the direct variation equation that relates x and y is:
y = 7x
To write a direct variation equation that relates x and y, we need to use the formula for direct variation, which is in the form y = kx. In this case, we are given that y = 35 when x = 5.
To find the value of k, we can substitute the given values into the equation and solve for k.
35 = k * 5
To isolate k, we divide both sides of the equation by 5:
35/5 = k
7 = k
Now that we have the value of k, we can rewrite the direct variation equation using this value:
y = 7x
Therefore, the direct variation equation that relates x and y is y = 7x.
y = m x
35 = m * 5
m = 7
y = 7 x