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If p is directly proportional to 7 and p=12 when t =4 find the value of t when p=18

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Answer:

When p=18, t=6

Explanation:

If p and t are directly proportional, then:

p = k.t

Where k is the constant of proportionality.

We are given an initial condition: when p=12, then t=4. Substituting in the equation:

12 = k.4

Solving for k

k = 12/4 =3

The equation is:

p = 3t

Now we are required to find the value of t when p=18:

18 = 3t

Solving for t:

t = 18/3 = 6

t = 6

Thus, when p=18, t=6

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