A direct variation includes the points (5,15) and (3,n) find n. Write and solve a direct variation equation to find the answer.
In a direct variation, the ratio of the y-values to the x-values is constant. Let's use the formula for direct variation:
y = kx
where y and x are the y-values and x-values respectively, and k is the constant of variation.
From the given points (5,15) and (3,n), we can plug in the values to the equation to find k.
15 = k*5
Dividing both sides of the equation by 5:
3 = k
Now, we can use this value of k to find n:
n = 3*k
Plugging in the value of k as 3:
n = 3*3
n = 9
Therefore, n = 9.