Given that q is directly proportional to p and q=3 when p=2, find the value of q when p=4.
Question
Solution
Since q is directly proportional to p, we can express this relationship as q = kp, where k is the constant of proportionality.
From the given, when p = 2, q = 3. We can substitute these values into the equation to find the value of k:
3 = k * 2 k = 3/2 = 1.5
Now that we know k, we can find the value of q when p = 4:
q = 1.5 * 4 q = 6
So, when p = 4, q = 6.
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