Question

Suppose y varies directly as x. Find the missing value. (8,16) and (16,y).

Answer 1

In a direct variation, the relationship between two variables can be expressed as y = kx, where k is a constant called the constant of variation. To find the missing value, we can use the given information of (8,16) and (16,y) to solve for the constant of variation, k. The missing value is y = 32.

Step-by-step explanation:

In a direct variation, the relationship between two variables can be expressed as y = kx, where k is a constant called the constant of variation. To find the missing value, we can use the given information of (8,16) and (16,y) to solve for the constant of variation, k. Since y varies directly with x, we can set up the equation:

16 = k(8)

Solving for k:

k = 16/8 = 2

Now we can substitute the value of k into the second set of points (16,y) to find the missing value:

y = 2(16) = 32

Therefore, the missing value is y = 32.