Question

If "x" and "y" vary directly and "y" is 30 when "x" is 15, find "y" when x is 13

Answer 1

By recognizing that x and y vary directly, we found the constant of variation to be 2 and determined that when x is 13, y is 26.

Step-by-step explanation:

The student's question involves finding a value when two variables vary directly. Since we are given that y is 30 when x is 15, we can first determine the constant of variation.

We do this by dividing the given y value by the given x value:

• y / x = 30 / 15 = 2

Therefore, the constant of variation k is 2. Now, to find y when x is 13, we multiply the new x value by the constant of variation:

• y = k × x
• y = 2 × 13
• y = 26

So, when x is 13, y is 26.