If Q varies directly as P and Q = 28 when P = 4, then
a) Write an equation connecting P and Qb) Find the value of O when P = 5 and
c) Find the value of P when Q = 42.



Given,

Q is directly proportional to P.

Q∝P

This implies,

Q=k(P)  where k is any constant.

When Q=28, P=4

28=(k)x4

k=28/4

k=7

a. Equation connecting P and Q is Q=4P.

b. Value of Q when P=5 is,

Q=(7)x(5)

Q=35.

c. Value of P when Q=42 is,

42=(7)P

P=42/7

P=6.


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