Question

For the data in the table does one very directly with X if it does write an equation for the direct variation table XY 2 10 4 24 and 6 36

Answer 1

Yes, the data in the table shows a direct variation with X.

To find the equation for the direct variation, we can use the formula y = kx, where k is the constant of variation.

We can find the value of k by taking any pair of values from the table and substituting them into the equation. Let's choose the first pair of values: (2, 10).

10 = k * 2

Dividing both sides by 2:

5 = k

Now that we know the value of k, we can write the equation for the direct variation:

y = 5x