The formula for p in terms of q is p = 0.4 q³
Direct Proportion means when one variable changes the other also changes in the same direction by some proportion.
It is given that
p ∝ q³
p = k q³
here k is the proportionality constant
It is also given that when q = 15 , p = 1350
1350 = k * 15³
k = 0.4
Therefore
The formula for p in terms of q is
p = 0.4 q³
The complete question is
p is directly proportional to the cube of q . When , q = 15 , p = 1350
Find a formula for p in terms of q
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