Question

Y varies directly as x. If y = 16 when x = 4, find y when x = 6.

Answer 1

To find y when x = 6 in a direct variation relationship, we can use the formula y = kx. In this case, y = 24.

Step-by-step explanation:

To find y when x = 6, we can use the direct variation formula y = kx, where k is the constant of variation.

First, we can find the value of k by using the given information: y = 16 when x = 4.

So, substituting these values into the formula, we get 16 = k * 4.

Solving for k, we divide both sides by 4: k = 16/4 = 4.

Now that we have the value of k, we can find y when x = 6: y = 4 * 6 = 24.

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