If y is directly proportional to x, and y = 24 when x = 2,what is the equation connecting y and x?
Question
If y is directly proportional to x, and y = 24 when x = 2,what is the equation connecting y and x?
Solution
If y is directly proportional to x, we can express this relationship as y = kx, where k is the constant of proportionality.
Given that y = 24 when x = 2, we can substitute these values into the equation to find the value of k.
24 = k * 2
To solve for k, we divide both sides of the equation by 2:
k = 24 / 2 = 12
So, the equation connecting y and x is y = 12x.
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