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A direct variation includes the points (3, 78) and (n, 52). Find n.

4) Write and solve a direct variation equation to find the answer.

A direct variation includes the points (3, 78) and (n, 52). Find n. 4) Write and solve-example-1
User Xverges
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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.

User Szymon Wylezol
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