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Copy of FREE TEMPLATE - Around The World

A free Prezi Template with around the world concept. A 3D earth image with various elements for your amazing story. Download from Prezibase.com or directly Save a copy right here!
by

Gabriela Oyola

on 8 December 2014

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Transcript of Copy of FREE TEMPLATE - Around The World

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Exponential Functions
John Napier
Born: 1550 Died: 4th April 1617, at the age 67
Joost Burgi
Born: February 28, 1552
Died: January 31, 1632
Leonard Euler
Born: Born: 15 April, 1707 Died: 18 September 1783

𝑒^(ln⁡(𝑥))=𝑥 if 𝑥>0
Discovered logarithm
Invented: Logarithm, Exponential Notation
What's an Exponential Function?
Basic exponential function equation
Positive Real Numbers:
(0,+∞)
Y -Intercept
Horizontal Asymptote

Example Problems

Exponential Models
P
o
is the initial size of the population at time zero
P(
t
) is the population size after time
t

The Spread of Virus
Ebola
Growth Factor k>0
Decay Factor k<0
On March 1, 2014 it was reported that 58 people were either infected with Ebola or had died from it since the first believed case on December 6, 2013.
How many people were

infected

after the first known case?
P(t)=58e^0.0216(252+365) = 35,592,411
1 Year Later
What will the World Population be in 2016?

Example Problem
P(t)=Poe^kt
P(6)=7.0e^(0.01042(6)) = 7.45 Billion People
Po= 7 Billion People
t= 2016
k= 1.042%
Using Exponential Notation, how many people were infected by November 7, 2014?

The
principle amount (Po)
= 58
The
growth rate (k)
= 2.16%
The
time
(t) = 252 days


P(t)=58e^0.0216(252) = 13,408
Napier Bone
constant (
base
)
variable(
exponent
)


The problem says we have to multiply x number of two's together to get four. Well, everyone knows that 2*2=4, so the answer is two:

4= 2^2
x=2
If 865 days passed from the date of the first infection, how many people will either be infected and/or have died as a result of Ebola at a growth rate of 2.16 percent?
P(t)=58e^0.0216(t) = ?
P(t)=58e^0.0216(
865
) =
7,547,204,076
*Est. world population in 2016 = 7.45 billion

𝑥^𝑚 𝑥^𝑛=𝑥^(𝑚+𝑛)

Characteristics
July 12, 2016
e= 2.718281828..

To Conclude..
Class Activity
Out the twenty-five students in the classroom, initially, eight students will receive a candy gummy worm, which represent the Ebola virus itself.
Every 7 minutes 4 students are infected. After 35 minutes the entire class will be infected with the Ebola virus

Po=25 Students
P=8 Students
k=6.4% Or 0.64
T=7 Minutes (420 sec.)
P(420)= 8e^0.64(420) =3.7
Four students after seven minutes are infected with the Ebola virus.

Gabriela Oyola
Ivetteliz Torres
Keishawn Dew
Nehemie Verdier

Solve for x: 4=2^x
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