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Check reasonableness using estimation and alternative methods
Worksheet
Grade Level
Geometry
GEO.189 Check reasonableness using estimation and alternative methods
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For a regular pentagon with side length s, a model gives perimeter P = 5s + 8. Which check shows whether the model is reasonable?
A
Set s = 0; a zero side length should give perimeter 0, but the model gives 8, so the model is not reasonable.
B
Set s = 1; the model gives 13, so the model is reasonable because 13 is positive.
C
Set s = 5; the model gives 33, so the model is reasonable because 33 is larger than 5.
D
Check that the coefficient of s is 5; the +8 cannot affect reasonableness.
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