Math Problem Statement
Because of a drought emergency, a water district began charging its customers according to the block rate system described in the table. What would a customer be charged for using (a) 39 HCF, (b) 83 HCF, and (c) 155 HCF? Block Quantity Used Rate per HCF* 1 The first 20 HCF $3.90 2 The next 40 HCF (from 21long dash60 HCF) $4.15 3 The next 60 HCF (From 61long dash120 HCF) $4.90 4 Usage in excess of 120 HCF $5.90 *HCFequalsHundred cubic feet Question content area bottom Part 1 (a) Customer charge for 39 HCF is $
enter your response here. (Round to the nearest cent as needed. Include cents in your answer.)
Solution
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Math Problem Analysis
Mathematical Concepts
Arithmetic
Piecewise Functions
Formulas
Total charge = (HCF used in block 1 × rate 1) + (HCF used in block 2 × rate 2) + …
If usage exceeds block limit, sum charges for all preceding blocks.
Theorems
Block Rate System Calculation
Suitable Grade Level
Grades 9-12
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