Use data from Figure 1.3(attached in this question) in Unit 1.4 of CORE (Productivity of labour in producing light) to reproduce annexed chart: “Hours of work required to produce 1000 lumen hours”. Note that the data provided gives lumen hours per hour of labour, not hours of work required to produce 1000 lumen hours. So you will need a calculation to find the right numbers. Again, try to match the formatting of the chart as closely as possible, but with a different coloured line! 3.1. Show and explain how to calculate work time required in seconds for the last observation. link to all data of Figure 1.3 The productivity of labour in producing light: https://ourworldindata.org/grapher/the-productivity-of-labour-in-producing-light-lumen-hours-per-hour-of-labour-1800-to-the-present Data necessary to complete this excel exercise Variable Lumen-hours per hour of labor Time Period 100,000 BC to AD 1992 Year Technology -100000 -100000 Open Fire 17.24 -40000 -40000 Neolithic Lamp 20.00 -1750 -1750 Babylonian Lamp 24.39 1800 1800 Tallow Candle 186.22 1845 1845 Whale Oil Lamp 204.08 1855 1855 Town Gas Lamp 336.70 1875 1875 Early Gas Lamp 3067.48 1895 1895 Welscbach Mantle 12048.19 1920 1920 Carbon Filament Bulb 83333.33 1940 1940 Carbon Filament Bulb 181818.18 1990 1990 Carbon Filament Bulb 1652892.56 1992 1992 Compact Fluorescent Bulb 8403361.34

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 68E

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Please help me to complete following question 3 aswell as question 3.1 I have annexed all data necessary to complete this exercise you might not need all of it but some will be necessary.

3. Use data from Figure 1.3(attached in this question) in Unit 1.4 of CORE (Productivity of labour in producing light) to reproduce annexed chart: “Hours of work required to produce 1000 lumen hours”.
Note that the data provided gives lumen hours per hour of labour, not hours of work required to produce 1000 lumen hours. So you will need a calculation to find the right numbers. Again, try to match the formatting of the chart as closely as possible, but with a different coloured line!

3.1. Show and explain how to calculate work time required
in seconds for the last observation.

link to all data of Figure 1.3 The productivity of labour in producing light:

https://ourworldindata.org/grapher/the-productivity-of-labour-in-producing-light-lumen-hours-per-hour-of-labour-1800-to-the-present

Data necessary to complete this excel exercise

	Variable	Lumen-hours per hour of labor
	Time Period	100,000 BC to AD 1992
Year	Technology
-100000	-100000 Open Fire	17.24
-40000	-40000 Neolithic Lamp	20.00
-1750	-1750 Babylonian Lamp	24.39
1800	1800 Tallow Candle	186.22
1845	1845 Whale Oil Lamp	204.08
1855	1855 Town Gas Lamp	336.70
1875	1875 Early Gas Lamp	3067.48
1895	1895 Welscbach Mantle	12048.19
1920	1920 Carbon Filament Bulb	83333.33
1940	1940 Carbon Filament Bulb	181818.18
1990	1990 Carbon Filament Bulb	1652892.56
1992	1992 Compact Fluorescent Bulb	8403361.34

Hours of work required to produce 1000 lumen-hours
(Roughly =light output of 18 watt low energy bulb)
64
32
16
8
4
2
0.5
0.25
0.125
0.0625
0.03125
0.015625
0.0078125
0.0039063
0.0019531
Latest observation (1992) = 0.4 Seconds
0.0009766
0.0004883
0.0002441
0.0001221
6.104E-05
100,000
10,000
1,000
100
10
Years Ago

10,000,000
2000
1,000,000
10,000,000
1,000,000
100,000
10,000
1,000
100
1800
100
10
Years ago
Lumen-hours per hour of labour (ratio scale)
000'00T
000'08
008
1820-
000'09
1840
1880
006T
1920 -
1940
40,000
0961
1980
0007
20,000

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