Solve each variation problem.
n varies directly as q, and n= 39 when q=3. Find n when q=8.
To solve this variation problem, where n varies directly as q, we can use the formula for direct variation:
n = kq
where k is the constant of variation.
To find the value of k, we can substitute the given values into the formula and solve for k:
39 = k * 3
Dividing both sides of the equation by 3, we get:
k = 13
Now that we know the value of k, we can find n when q = 8 by substituting the values into the formula:
n = 13 * 8
n = 104
Therefore, when q = 8, n is equal to 104.