A direct variation includes the points (2,4) and (1,n) find n. Write and solve a direct variation equation to find the answer.
In a direct variation equation, the relationship between the variables is represented by the formula y = kx, where y and x are the variables and k is the constant of variation.
To find k, we can use the given points. We have the point (2,4), which means that when x = 2, y = 4. Substituting these values into the equation y = kx, we get:
4 = k(2)
Simplifying, we find:
k = 4/2
k = 2
Now we can substitute k = 2 into the equation y = kx. We have the point (1,n) and want to find n. Substituting x = 1 and k = 2 into the equation, we get:
n = 2(1)
n = 2
Therefore, n = 2.