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Direct and Inverse Proportional Relationship among Variables

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1. Write formula that expresses relationship described by each statement. Use k for the constant in each case.

a) m varies directly as p.
b) u varies inversely as n.

2. Find variation constant and write a formula that expresses the indicated variation for:

c varies inversely as d, and c=5 when d=2.

3. Solve variation problem.

n varies directly as q, and n=39 when q=3. Find n when q =8.

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Solution Summary

The solution is comprised of detailed analysis and explanation of the concept of Direct Proportionality and Inverse Proportionality among variables and provides step-by-step solutions to the given problems related to this topic.

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Solutions:
m varies directly as p:
m p
Or, m = k x p where, k = proportionality/variation constant.

u varies inversely as n
u 1/n
Or, u = k/n where, k = ...

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