Question

For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation.
x: 2, 4, 6
y: 10, 24, 36

Answer 1

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

Using the given data, we can see that when x = 2, y = 10. Therefore, we can substitute these values into the formula:
10 = k(2)

Simplifying, we get:
k = 10/2
k = 5

Thus, the equation for direct variation is:
y = 5x