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If y varies directly with x, and y = 24 when x = 8, what is the value of y when x = 12?

  1. 18

  2. 24

  3. 36

  4. 48

The correct answer is: 48

When two variables are directly proportional, it means that they have a constant ratio. In this case, y varies directly with x means that as x increases, y increases by a constant factor. To find the value of y when x is 12, we can use the given values to set up a proportion y/x = y/x 24/8 = y/12 Solving for y, we get y = 36. This means that when x is 12, y will be 36, giving us choice C as the correct answer. The other options are incorrect because they do not take into account the direct variation between x and y. A is incorrect because it assumes a constant increase rate of y, B is incorrect because it only gives the initial value of y at x=8, and C is incorrect because it does not account for the increase in