If y varies directly with x and y = 4 when x = 12, then what is the value of y when x = 60?

Question 2 options:

180

20

300

5

1 answer

The equation for direct variation is y = kx, where k is the constant of variation. To find the value of k, we can substitute the given values of x and y into the equation and solve for k.

Substituting x = 12 and y = 4:

4 = k * 12

Dividing both sides of the equation by 12:

4/12 = k

1/3 = k

Now that we have the value of k, we can find the value of y when x = 60 by plugging it into the equation:

y = (1/3) * 60

y = 20

So, the value of y when x = 60 is 20. Therefore, the correct option is 20.