Question

In a given mathematical relationship between two variables, x and y, it is known that when x is 3, y is 12. To find the missing number when x is 6, we need to determine the constant of proportionality. What is the constant of proportionality, and using it, calculate the missing number when x is 6 in this relationship between x and y?"

Answer 1

The constant of proportionality in the relationship between x and y is 4. When x is 6, y is calculated to be 24 by using the proportionality constant.

Step-by-step explanation:

To find the constant of proportionality in the relationship between x and y, we first use the information that when x is 3, y is 12. If y is directly proportional to x, we can express this as y = kx, where k is the constant of proportionality. We can solve for k by substituting the given values:

y = kx

12 = k(3)

k = 12 / 3

k = 4

The constant of proportionality is 4. Now, to calculate y when x is 6, we plug x into the direct proportionality equation:

y = kx
y = 4(6)
y = 24

Therefore, when x is 6, y is 24.