### 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*

*.*

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.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.'

Sketch a graph of

for this-day period. Make sure that this graph agrees with your function for

.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?