The value of n is 2. thus, the points in the direct variation becomes (3, 78) and (2, 52)
What is a direct variation?
In a direct variation, the relationship between two variables can be expressed using the equation y = kx, where y and x are the variables, and k is the constant of variation.
Given the points (3, 78) and (n, 52), write the direct variation equation as:
78 = k * 3 ... (1)
52 = k * n ... (2)
To find the value of n, solve equation (2) for n.
Divide both sides of equation (2) by k:
52/k = n
Now, substitute the value of k from equation (1) into the above equation:
52/(78/3) = n
52 * (3/78) = n
2 = n
Therefore, the value of n is 2.