Question
Suppose y is directly proportional to x. If y =4 when x =2, what us the value of y when x=6
Answers
GPT 3.5
To find the value of y when x = 6, we can use the fact that y is directly proportional to x.
Since y is directly proportional to x, we can write the proportionality as y = kx, where k is the constant of proportionality.
Given that y = 4 when x = 2, we can substitute these values into the equation to solve for k:
4 = k(2)
k = 4/2
k = 2
Now that we have found the value of k, we can use it in the equation to find the value of y when x = 6:
y = 2(6)
y = 12
Therefore, when x = 6, y = 12.
Since y is directly proportional to x, we can write the proportionality as y = kx, where k is the constant of proportionality.
Given that y = 4 when x = 2, we can substitute these values into the equation to solve for k:
4 = k(2)
k = 4/2
k = 2
Now that we have found the value of k, we can use it in the equation to find the value of y when x = 6:
y = 2(6)
y = 12
Therefore, when x = 6, y = 12.