Question

What is the Constant of Proportionality? If y varies directly with X, and y= -3 when x= 1, what is y when x= -6?

A. 2
B. 2
C. 18
D .-18​

Answer 1

The Constant of Proportionality is the value that relates two variables in a direct variation equation. In this case, y varies directly with x. Using the given information, we can determine the constant of proportionality and find the value of y when x=-6.

Step-by-step explanation:

The Constant of Proportionality is the value that relates the two variables in a direct variation equation. In a direct variation, if one variable increases or decreases, the other variable will also increase or decrease by the same amount.

In this case, we are given that y varies directly with x. We also know that when x=1, y=-3. To find y when x=-6, we can use the constant of proportionality. The constant of proportionality (k) is the ratio between y and x.

First, we can find k by using the given values: k = y / x = -3 / 1 = -3.

Now, we can use the value of k to find y when x=-6: y = k * x = -3 * -6 = 18.

Therefore, when x=-6, y is equal to 18. So, the correct answer is C. 18.