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Constant of Proportionality Pg. 40 & 41 RS
Answer: C
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The constant of proportionality is a constant ratio (unit rate) in any proportional relationship.
We use the letter k to represent the constant of proportionality. Equations: y = kx or k = y x
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We can find the constant of proportionality from a table of values, equation and a graph.
In a table, simplify any one of the ratios (since we already know that the table is proportional). Chaperones 1 2 3 4 5 Students 12 24 36 48 60
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In a graph, choose a point (x, y) to find and simplify the ratio y/x.
(2,24) Chaperones Students 6 12 18 24 30 36 42 48 54 60
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Examples: Constant of Proportionality Pg. 40 & 41 LS
Answer: C
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Find the constant of proportionality:
Apples (lbs) 2 2.5 3 3.5 4 Cost ($) 3.96 4.95 5.94 6.93 7.92 Click
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Find the constant of proportionality:
X Y 3 4.5 4 6 5 7.5 8 12 9 13.5 Click
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Find the constant of proportionality:
X Y 2 1.5 5 3.75 10 7.5 12 9 Answer: k = 0.75
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In an equation, write the equation in the form y = kx. Examples:
Click Click Click
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Find the constant of proportionality:
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Find the constant of proportionality:
2 4 6 8 10 12 14 16 18 20 Click
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Find the constant of proportionality:
4 8 12 16 20 24 28 32 36 40 Answer: k = 8
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Find the constant of proportionality:
0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 Answer: k = 1/3
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Video Answer: C Constant of Proportionality
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