Math Problem Statement

𝐴 π‘π‘œπ‘šπ‘π‘Žπ‘›π‘¦ π‘β„Žπ‘Žπ‘Ÿπ‘”π‘’π‘  π‘ β„Žπ‘–π‘π‘π‘–π‘›π‘” π‘π‘œπ‘ π‘‘π‘  π‘π‘Žπ‘ π‘’π‘‘ π‘œπ‘› π‘‘β„Žπ‘’ π‘€π‘’π‘–π‘”β„Žπ‘‘ 𝑀 π‘œπ‘“ π‘Ž π‘π‘Žπ‘π‘˜π‘Žπ‘”π‘’:

β€’ πΉπ‘œπ‘Ÿ π‘π‘Žπ‘π‘˜π‘Žπ‘”π‘’π‘  𝑒𝑝 π‘‘π‘œ 1 π‘˜π‘”,π‘‘β„Žπ‘’ π‘π‘œπ‘ π‘‘ 𝑖𝑠 β‚±50.

β€’ πΉπ‘œπ‘Ÿ π‘π‘Žπ‘π‘˜π‘Žπ‘”π‘’π‘  𝑏𝑒𝑑𝑀𝑒𝑒𝑛 1 π‘˜π‘” π‘Žπ‘›π‘‘ 5 π‘˜π‘”,π‘‘β„Žπ‘’ π‘π‘œπ‘ π‘‘ 𝑖𝑠 β‚±50 𝑝𝑙𝑒𝑠 β‚±20 π‘π‘’π‘Ÿ π‘˜π‘” π‘œπ‘£π‘’π‘Ÿ 1 π‘˜π‘”.

β€’ πΉπ‘œπ‘Ÿ π‘π‘Žπ‘π‘˜π‘Žπ‘”π‘’π‘  π‘œπ‘£π‘’π‘Ÿ 5 π‘˜π‘”,π‘‘β„Žπ‘’ π‘π‘œπ‘ π‘‘ 𝑖𝑠 β‚±130 𝑝𝑙𝑒𝑠 β‚±15 π‘π‘’π‘Ÿ π‘˜π‘” π‘œπ‘£π‘’π‘Ÿ 5 π‘˜οΏ½

Solution

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Math Problem Analysis

Mathematical Concepts

Piecewise Functions
Linear Equations
Algebra

Formulas

For packages up to 1 kg: Cost = β‚±50
For packages between 1 and 5 kg: Cost = 50 + 20 Γ— (w - 1)
For packages over 5 kg: Cost = 130 + 15 Γ— (w - 5)

Theorems

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Suitable Grade Level

Grades 8-10

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