Andrew Gardner Slides 25 Rafael Diaz Slides 911 Mosi Davis Slides 68 What is the Inverse Function and how is it applied with currency The Inverse Function is a function used to return a value from x to y For example ID: 794646
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Slide1
Inverse Functions applied in real life situations.
Andrew Gardner, Slides 2-5,
Rafael Diaz, Slides
9-11
Mosi
Davis
, Slides 6-8
Slide2What is the Inverse Function and how is it applied with currency?
The Inverse Function is a function used to return a value from x to y. For example:
Function: F(X) = Y
Inverse Function: F^-1(Y)=X
The Inverse Function will get back the input (x) from the output (y) and vice versa.
I’ll be applying the Inverse function to real life situations such as knowing how currency is measured around the world in different areas.
Slide3Currency in Japan
As of April 2019, the currency in Japan called Yen is valued at $0.90 US Dollars. How to apply the inverse function to this currency?
F(X)=Yen to USD: Yen = 0.90 USD, => Yen/0.90 = USD, For 1$ Value: 1 / 0.90 = USD, => $1.11 USD.
F^-1(x)=USD to Yen: USD = 1.11 Yen, => USD/1.11 = Yen, For $1 Value: 1 / 1.11 = Yen, => $0.90 Yen.
Slide4Currency in Germany
As of April 2019, the currency of Germany called Euro is valued at $1.12 US Dollars. How to apply the inverse function to this currency?
F(X)= Euro to USD: EU = 1.12 USD, => EU / 1.12 = USD, For $1 Value: 1 / 1.12 = USD, => $0.89 USD.
F^-1(X)= USD to Euro: USD= 0.89 EU, => USD / 0.89 = EU, For $1 Value: 1 / 0.89 = EU, => $1.12 Euro
Slide5Currency in Sweden
As of April 2019, the currency of Sweden called Krona is valued at $0.11 US Dollars. How to apply the inverse function to this currency?
F(x)= Krona to USD: KNA = 0.11 USD, KNA / 0.11 = USD, For 1$ Value: 1 / 0.11 = USD, => $9.09 USD.
F^-1(x)= USD to Krona: USD= 9.09 KNA, USD / 9.09 = KNA, For 1$ Value: 1 / 9.09 = KNA, => $0.11 Krona.
Slide6Inverse Functions to determine distance while traveling.
An inverse function can be used to approximate distance and times traveling around the world.
Function: F(x)=(m)(x); m = miles per hour traveled, and x = hours it would take. This function approximate how far i've been traveling going one steady pace.
Inverse Function: F^-1(x)= x/m. This function tells me how long I have been traveling based on how far i've gotten.
Mosi Davis, 1
Slide7Traveling to Boston ( from City Tech)
F(x)=(m)(x); m = miles per hour traveled, and x = hours it would take.
F(x) = (60)(3.75)
F(x) = 225 miles
Which means driving at 60 miles per hour for 3.75 hours it would take 225 miles to get to Boston.
F^-1(x)= x/m
F(x) = 225/60
F(x) = 3.75 hours traveled
Which means after driving 225 miles at 60 miles per hour it would take 3.75 hours to get to Boston.
Mosi Davis, 2
Slide8Traveling to Bali (from NYC)
F(x)=(m)(x); m = miles per hour traveled, and x = hours it would take.
F(x) = (510)(21)
F(x) = 10,710 miles
Which means flying at 510 miles per hour for 21 hours it would take 10,710 miles to get to Bali.
F^-1(x)= x/m
F(x) = 10,710/510
F(x) = 21 hours traveled
Which means after flying for 10,710 miles at 510 miles per hour it would take 21 hours to get to Bali.
Mosi Davis, 3
Slide9Using Inverse Functions to find how much a piece of land is
An inverse function can be used to find how much a piece of land will be.
Function: F(x)=(s)(x)
Inverse Function:f^-1(x)=x/s
X= amount of square feet
S= base cost of square feet
These functions will help me find how much a piece of land is.
Rafael 1
Slide10Buying 300 square feet of land
F(x)=(s)(x)
F(x)=(30)(300)
F(x)= $9000
Buying 300 square feet of land costs $9000
F^-1(x)=9000/30
F^-1(x)=300 sq
$9000 can buy 300 square feet of land
Rafael 2
Slide11Buying 500 square feet of land
F(x)=(s)(x)
F(x)=(70)(500)
F(x)=35,000
Buying 500 square feet of land costs $35,000
F^-1(x)=35,000/70
F^-1(x)=500
$35,000 can buy 500 square feet of land Rafael 3