SOLUTION: Paul has two younger brothers, Peter and Patrick. Peter is 2 years older than Patrick and Paul is four times older than Peter. Patrick is z years old. Part A: Write two equival

Algebra ->  Expressions -> SOLUTION: Paul has two younger brothers, Peter and Patrick. Peter is 2 years older than Patrick and Paul is four times older than Peter. Patrick is z years old. Part A: Write two equival      Log On


   



Question 941445: Paul has two younger brothers, Peter and Patrick. Peter is 2 years older than Patrick and Paul is four times older than Peter. Patrick is z years old.
Part A: Write two equivalent expressions that represent Paul's age in terms of Patrick's age, z, and explain how the two expressions relate to one another.
Part B: Which expression is more useful? Why?

Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
x = paul age
y = peter age
z = patrick age
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a)
y = z + 2 (eqn1)
x = 4y (expression1)
x = 4(z + 2)
x = 4z + 8 (expression2)
expression1 indirectly gives paul's age in terms of patrick's (through eqn1)
expression2 directly gives paul's age in terms of patrick's
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b)
expression2
because expression2 directly gives paul's age in terms of patrick's
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