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MSU / Math / MTH 101 / What is interpolation used for?

# What is interpolation used for? Description

##### Description: -Linear Graphs -Exponential Graphs -Logistic Graphs -Log Scale -Extrapolation -Interpolation
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"}.lst-kix_4pfyvqxp77kt-4 > li{counter-increment:lst-ctn-kix_4pfyvqxp77kt-4}.lst-kix_z6fnbp6rjavc-1 > li:before{content:"○ "}.lst-kix_atl3hud1qymv-6 > li:before{content:"" counter(lst-ctn-kix_atl3hud1qymv-6,lower-latin) ". "}.lst-kix_atl3hud1qymv-7 > li:before{content:"" counter(lst-ctn-kix_atl3hud1qymv-7,lower-roman) ". "}.lst-kix_z6fnbp6rjavc-0 > li:before{content:"● "}.lst-kix_z6fnbp6rjavc-2 > li:before{content:"■ "}.lst-kix_atl3hud1qymv-2 > li:before{content:"" counter(lst-ctn-kix_atl3hud1qymv-2,decimal) ". "}.lst-kix_atl3hud1qymv-3 > li:before{content:"" counter(lst-ctn-kix_atl3hud1qymv-3,lower-latin) ". "}.lst-kix_z6fnbp6rjavc-4 > li:before{content:"○ "}.lst-kix_z6fnbp6rjavc-6 > li:before{content:"● "}.lst-kix_atl3hud1qymv-0 > li:before{content:"" counter(lst-ctn-kix_atl3hud1qymv-0,lower-latin) ". "}.lst-kix_atl3hud1qymv-1 > li:before{content:"" counter(lst-ctn-kix_atl3hud1qymv-1,lower-roman) ". "}.lst-kix_atl3hud1qymv-4 > li:before{content:"" counter(lst-ctn-kix_atl3hud1qymv-4,lower-roman) ". "}.lst-kix_atl3hud1qymv-5 > li:before{content:"" counter(lst-ctn-kix_atl3hud1qymv-5,decimal) ". "}ol.lst-kix_4pfyvqxp77kt-6.start{counter-reset:lst-ctn-kix_4pfyvqxp77kt-6 0}.lst-kix_3f1dt18qbo6k-8 > li:before{content:"■ "}.lst-kix_z6fnbp6rjavc-3 > li:before{content:"● "}.lst-kix_z6fnbp6rjavc-7 > li:before{content:"○ "}.lst-kix_z6fnbp6rjavc-5 > li:before{content:"■ "}ol.lst-kix_4pfyvqxp77kt-4{list-style-type:none}ol.lst-kix_4pfyvqxp77kt-5{list-style-type:none}ol.lst-kix_4pfyvqxp77kt-6{list-style-type:none}.lst-kix_bivdyqkdl3x3-0 > li:before{content:"● "}ol.lst-kix_4pfyvqxp77kt-7{list-style-type:none}ol.lst-kix_4pfyvqxp77kt-8{list-style-type:none}.lst-kix_bivdyqkdl3x3-1 > li:before{content:"○ "}ol.lst-kix_atl3hud1qymv-3.start{counter-reset:lst-ctn-kix_atl3hud1qymv-3 0}.lst-kix_odns9ihz68ma-0 > li:before{content:"● "}ol.lst-kix_4pfyvqxp77kt-0{list-style-type:none}ol.lst-kix_4pfyvqxp77kt-1{list-style-type:none}.lst-kix_odns9ihz68ma-1 > li:before{content:"○ "}ol.lst-kix_4pfyvqxp77kt-2{list-style-type:none}ol.lst-kix_4pfyvqxp77kt-3{list-style-type:none}ul.lst-kix_z6fnbp6rjavc-4{list-style-type:none}ul.lst-kix_z6fnbp6rjavc-3{list-style-type:none}.lst-kix_odns9ihz68ma-3 > li:before{content:"● "}.lst-kix_odns9ihz68ma-4 > li:before{content:"○ "}ul.lst-kix_z6fnbp6rjavc-6{list-style-type:none}ul.lst-kix_z6fnbp6rjavc-5{list-style-type:none}ul.lst-kix_z6fnbp6rjavc-0{list-style-type:none}.lst-kix_odns9ihz68ma-2 > li:before{content:"■ "}ul.lst-kix_z6fnbp6rjavc-2{list-style-type:none}.lst-kix_odns9ihz68ma-6 > li:before{content:"● "}ul.lst-kix_z6fnbp6rjavc-1{list-style-type:none}ol.lst-kix_4pfyvqxp77kt-0.start{counter-reset:lst-ctn-kix_4pfyvqxp77kt-0 0}ul.lst-kix_z6fnbp6rjavc-8{list-style-type:none}ul.lst-kix_z6fnbp6rjavc-7{list-style-type:none}.lst-kix_odns9ihz68ma-5 > li:before{content:"■ "}.lst-kix_vyvwg5gzpglb-0 > li:before{content:"● "}.lst-kix_vyvwg5gzpglb-2 > li:before{content:"■ "}.lst-kix_4pfyvqxp77kt-1 > li{counter-increment:lst-ctn-kix_4pfyvqxp77kt-1}.lst-kix_vyvwg5gzpglb-4 > li:before{content:"○ "}.lst-kix_odns9ihz68ma-8 > li:before{content:"■ "}ol.lst-kix_4pfyvqxp77kt-1.start{counter-reset:lst-ctn-kix_4pfyvqxp77kt-1 0}.lst-kix_vyvwg5gzpglb-8 > li:before{content:"■ "}.lst-kix_vyvwg5gzpglb-6 > li:before{content:"● "}.lst-kix_3f1dt18qbo6k-0 > li:before{content:"● "}.lst-kix_3f1dt18qbo6k-4 > li:before{content:"○ "}ul.lst-kix_mv36m9r0v2z8-6{list-style-type:none}ul.lst-kix_mv36m9r0v2z8-5{list-style-type:none}ul.lst-kix_mv36m9r0v2z8-8{list-style-type:none}.lst-kix_z6fnbp6rjavc-8 > li:before{content:"■ "}ul.lst-kix_mv36m9r0v2z8-7{list-style-type:none}.lst-kix_atl3hud1qymv-5 > li{counter-increment:lst-ctn-kix_atl3hud1qymv-5}ul.lst-kix_mv36m9r0v2z8-2{list-style-type:none}ul.lst-kix_mv36m9r0v2z8-1{list-style-type:none}ul.lst-kix_mv36m9r0v2z8-4{list-style-type:none}.lst-kix_3f1dt18qbo6k-6 > li:before{content:"● "}ul.lst-kix_mv36m9r0v2z8-3{list-style-type:none}ul.lst-kix_mv36m9r0v2z8-0{list-style-type:none}ol.lst-kix_atl3hud1qymv-4.start{counter-reset:lst-ctn-kix_atl3hud1qymv-4 0}.lst-kix_3f1dt18qbo6k-2 > li:before{content:"■ "}.lst-kix_4bjxu53sjv4a-6 > li:before{content:"● "}.lst-kix_4bjxu53sjv4a-8 > li:before{content:"■ "}ol.lst-kix_4pfyvqxp77kt-3.start{counter-reset:lst-ctn-kix_4pfyvqxp77kt-3 0}ol.lst-kix_atl3hud1qymv-7.start{counter-reset:lst-ctn-kix_atl3hud1qymv-7 0}ol.lst-kix_4pfyvqxp77kt-4.start{counter-reset:lst-ctn-kix_4pfyvqxp77kt-4 0}.lst-kix_mv36m9r0v2z8-1 > li:before{content:"○ "}.lst-kix_4pfyvqxp77kt-8 > li{counter-increment:lst-ctn-kix_4pfyvqxp77kt-8}.lst-kix_4bjxu53sjv4a-0 > li:before{content:"● "}.lst-kix_4pfyvqxp77kt-2 > li{counter-increment:lst-ctn-kix_4pfyvqxp77kt-2}ol.lst-kix_atl3hud1qymv-6.start{counter-reset:lst-ctn-kix_atl3hud1qymv-6 0}.lst-kix_mv36m9r0v2z8-3 > li:before{content:"● "}.lst-kix_mv36m9r0v2z8-5 > li:before{content:"■ "}.lst-kix_4pfyvqxp77kt-6 > li:before{content:"" counter(lst-ctn-kix_4pfyvqxp77kt-6,lower-latin) ". "}ul.lst-kix_xbkl4k4ltvlc-1{list-style-type:none}.lst-kix_mv36m9r0v2z8-7 > li:before{content:"○ "}ul.lst-kix_xbkl4k4ltvlc-0{list-style-type:none}.lst-kix_4bjxu53sjv4a-2 > li:before{content:"■ "}.lst-kix_4bjxu53sjv4a-4 > li:before{content:"○ "}ul.lst-kix_xbkl4k4ltvlc-3{list-style-type:none}ul.lst-kix_xbkl4k4ltvlc-2{list-style-type:none}.lst-kix_4pfyvqxp77kt-8 > li:before{content:"" counter(lst-ctn-kix_4pfyvqxp77kt-8,decimal) ". "}ul.lst-kix_xbkl4k4ltvlc-5{list-style-type:none}ul.lst-kix_xbkl4k4ltvlc-4{list-style-type:none}ul.lst-kix_xbkl4k4ltvlc-7{list-style-type:none}ul.lst-kix_xbkl4k4ltvlc-6{list-style-type:none}ul.lst-kix_xbkl4k4ltvlc-8{list-style-type:none}.lst-kix_atl3hud1qymv-4 > li{counter-increment:lst-ctn-kix_atl3hud1qymv-4}

3/13/18If you want to learn more check out What are the three ways to push dynamic balance?

Wednesday Office Hours 9-10a

C134 WH

MLC changing

MTH 101 same hours, Diff.

Location C109WHWe also discuss several other topics like Do groups require direct interaction?

Exam a March 22(next Thursday)

Multiple choice ScantronWe also discuss several other topics like What are examples of kinetic and potential energy?

#2 pencil

• M0019 → 2 videos, watch those before Thursday, March 15
• Question about videos can be on exam

formula sheet for test 2

• 2 sided
• 8”x11”

Don't forget about the age old question of How do you calculate the electric field due to a long charged wire?

Week 6 Growth models

• Linear - Ex. pop. increases by 1,000 each year
• Increase by amount per year
• Increase by percent each year
• Exponential - Ex. pop. increases by 5% each year

• Interpolation: estimating a value within the range of collected data
• Extropo;ation: estimating a value for the future(125 eagles)
• Ex.

year

Population of eagles in Michigan

1900

100

1910

150

1920

210

1930

265

• Interpolation: estimate # of eagles in 1905
• Inside 1900 - 1930
• Extrapolation: estimate # of eagles in 1940(390 eagles)
• Outside of 1900 - 1930 data range

• X+Y - axis are linear scale

Don't forget about the age old question of What disorder is characterized by persuasive distrust and suspiciousness of others, such that motives are interpreted as malevolent?

Formulas

• Percent increase( exponential growth)
• Population the next year = population current

1year of growth        year.We also discuss several other topics like What is the formula to be used in nitric acid?

Population “y” years later = population current year. (

Ex. suppose a colony of worms has 2500 members and the growth rate is 1.67% per day. Abbount how many days until the worm population reaches 3,000?

1. 100days
2. 3days
3. 4days
4. 50days

Use 4.67% → think exponential

3,000

Population “y” days later = current population(

3,000 = 2500(

3,000 = 2500(

“Guess + check

Doubling Time for an exponential growth model

Doubling time

Earth’s carrying capacity

Ex. A country’s population is currently 50million people and growing at a rate of 4.5 million per year. If the trend continues, how many people will be in the country in 10 years

1. 77 million
2. 60 million
3. 95 million
4. 45 million

Linear growth

Population “y” years later = current pop. rate.\

Rate = 4.5 million per year

Current pop = 50 million y = 10 years

50 + 4.5.10

50 + 45 = 95million

Linear scale

• Equal sized spaces correspond to addition of a particular number
• Associated with “absolute change”

Log scale

• Equal sized spaces corres multiplication of a particular number
• Associated with relative or percent

Change

Dr. A’s class 20 people got 4.0

Dr. B’s class 2 people got 4.0

Absolute measure

There 1000 students in Dr. A’s class there were 4 students in Dr. B’s class

Relative measure: Dr.A.

Dr. B’s class → 50% got 4.0

Videos

• Each level is a 15 year age group
• Below age 15, there are two billion children
• 15 - 30 (2 billion)
• 30 - 45 (1 billion)
• 45 - 60 (1billion)
• 60 years and older (1billion)
• So around eleven billion by the year 2100

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