Question
If x is directly proportional to y and x = 4 when y = 12, find the value of x when y = 24
Answers
GPT 3.5
If x is directly proportional to y, then there exists a constant k such that x = ky.
Given that x = 4 when y = 12, we can substitute these values into the equation to find k:
4 = k(12)
k = 4 / 12
k = 1/3
Now that we have found the value of k, we can find the value of x when y = 24:
x = (1/3)(24)
x = 8
Therefore, when y = 24, x = 8.
Given that x = 4 when y = 12, we can substitute these values into the equation to find k:
4 = k(12)
k = 4 / 12
k = 1/3
Now that we have found the value of k, we can find the value of x when y = 24:
x = (1/3)(24)
x = 8
Therefore, when y = 24, x = 8.