Question

The variable y is directly proportional to the variable x. If y - 12 when x = 14, what is the value of x when y = 24?

A) 26
B) 28
C) 30
D) 32

Answer 1

To solve for x when y = 24 in a direct proportionality equation, first find the proportionality constant by plugging in the given values. Then, use the constant to find the value of x when y = 24.

Step-by-step explanation:

To solve this problem, we need to use the equation for direct proportionality, which is y = kx. Given that y - 12 when x = 14, we can set up the following equation: 12 = k * 14. Solving for k, we find that k = 12/14.

Now, we can use the value of k to find the value of x when y = 24. Plugging in the values into the equation, we have 24 = (12/14) * x. Solving for x, we find that x = 24 * 14/12, which simplifies to x = 28.

Therefore, the value of x when y = 24 is 28, so the correct answer is B) 28.