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
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 use the given information that y = 7 when x = 6. Substituting these values into the equation, we get:
7 = k(6)
Dividing both sides by 6, we obtain:
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 can substitute x = 18 into the equation:
y = (7/6)(18)
Simplifying, we get:
y = 21