suppose that y varies directly with x and y=5 when x=6. what is y when x = 5
sorry. since y/x is constant,
y/5 = 5/6
or, y=kx
5 = 6k, so k = 5/6
y = 5/6 x
Now plug in x=5
In this scenario, we are told that y varies directly with x. This means that there is a constant ratio between y and x. We can express this relationship using the equation:
y = kx
where k represents the constant of variation.
To find the value of k, we can use the given information that y = 5 when x = 6. Substituting these values into the equation, we get:
5 = k * 6
Now, we can solve for k by dividing both sides of the equation by 6:
k = 5 / 6
Once we have the value of k, we can use it to find y when x = 5. Substituting these values into the equation, we get:
y = (5 / 6) * 5
y = 25 / 6
Hence, when x = 5, y is equal to 25/6 or approximately 4.17.