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