Suppose y varies directly with x. Write a direct variation equation that relates x and y. Then find the value of y when x=18
y= 7 when x= 6
Write a direct variation equation that relates x and y.
Since y varies directly with x, we can write the equation as:
y = kx
To find the value of k, we can use the given information that y = 7 when x = 6. Plugging these values into the equation:
7 = k * 6
To solve for k, we divide both sides of the equation by 6:
k = 7/6
So the direct variation equation that relates x and y is:
y = (7/6)x
To find the value of y when x = 18, we plug in x = 18 into the equation:
y = (7/6)(18) = 21