To solve this problem, we can set up a proportion using the direct variation formula.
If the value of y varies directly with x, we can write the equation as:
y = kx
where k is the constant of variation.
To find the value of k, we can use the given information that when x = 14, y = 35:
35 = k(14)
To solve for k, we divide both sides of the equation by 14:
k = 35/14 = 5/2
Now that we have the value of k, we can substitute it into the equation.
y = (5/2)x
To find the value of y when x = 16, we simply substitute x = 16 into the equation:
y = (5/2)(16) = 40
Therefore, when x = 16, y = 40.
The value of y varies directly with x. When x = 14, y = 35.
What is the value of y when x = 16?
1 answer