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Home > CALC > Chapter 6 > Lesson 6.4.3 > Problem 6-160


The function helped Kira determine the rate at which electricity was being used on any day of the month. However, to manage total electrical production, Kira needs to determine a function that will accumulate the energy used over the course of the month. That is, she needs a function that will determine the total energy used from the beginning of the month to time .

  1. Find a function that will accumulate the power used over time . Be sure that . What is its relationship to ?

    Notice that lower-case, , is a rate function.

  2. Use to find the total electrical energy used during this month.

    Assume the month has days.

    'Total electrical consumption' is another way to say 'accumulated power.'

  3. Sketch a graph of for this -day period.

    Make sure that this graph agrees with your function for .

  4. Calculate the average power used in kilowatts for this month. Did your answer match that in problem 6-151? How is this rate represented geometrically in the graph?