A direct variation includes the points (5,15) and (3,n) find n. Write and solve a direct variation equation to find the answer.

Answer 1

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.