SOLUTION: I am trying to solve the following proportion problem: "If p varies proportionally to s, and p = 6 when s = 3, which of the following equations correctly models this relationshi

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Question 1182969: I am trying to solve the following proportion problem:
"If p varies proportionally to s, and p = 6 when s = 3, which of the following equations correctly models this relationship?"
1. p = 2s
2. p = s/3

3. p = s + 3
4. s = 2p
I am trying to understand the phrase "if p varies proportionally to s."

Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
p=ks where k is the constant of proportionality. P is directly proportional to s. This problem.
p=k/s, P is inversely proportional to s, so if s rises P falls.
What models this relationship is p=2s
numbers 2 and 4 don't work, and while p is equal to s+3, that is not proportional, for 2s should equal 12 in the problem above, but 2s+3 would be 9.

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

I am trying to understand the phrase "if p varies proportionally to s."
~~~~~~~~~~~~~~~~


The phrase  "p varies proportionally to s" means that


    p = k*s.


where k is a constant.


And the problem wants you determine the form of the relationship from the context and from the given data.


Your question is answered.



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