BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 1.1, Problem 60E
To determine

To express: The montly cost as a function of the amount of electricity used and sketch the graph.

Expert Solution

Explanation of Solution

Given information:

The base rate of the electricity per month is $10 , the cost of first 1200kWh uses cost 6cents/kWh and 7cents/kWh for all usage over 1200kWh

The function of the given data is,

  E(x)={10+0.06xif0x120010+0.06×1200+0.07(x1200)ifx>1200E(x)={10+0.06xif0x12000.07x2ifx>1200

Thus, the function of the amount of electricity used is E(x)={10+0.06xif0x12000.07x2ifx>1200 .

Consider the graph of the given function,

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 1.1, Problem 60E

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