Math Problem Statement
My square orchid garden abuts my house so that the house itself forms the northern boundary. The fencing for the southern boundary costs $6 per foot, and the fencing for the east and west sides costs $1 per foot. Find the total cost of the fencing as a function of the length (in feet) of a side x.
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Functions
Cost Calculation
Geometry of Squares
Formulas
Total fencing length = 3x
Cost of southern boundary = 6x
Cost of eastern and western boundaries = 2x
Total cost function: C(x) = 6x + 2x = 8x
Theorems
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Suitable Grade Level
Grades 6-8
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