Formula
What is the formula for Exponential Functions?
y= a(1+r)x
Karim sent a chain email to 10 of his friends. The number of people who got the email increases by a factor of 1.41 every week. What expression gives the number of people who got the email after 3 weeks?
10⋅1.43
When there is a exponential growth the line with face Left or right?
Right
What is the formula for exponential decay?
y= a(1-r)x
The town of Springfield, USA has a population of 9900 people. The population is growing at a rate of 2.3% percent each year. What expression gives the population 7 years from now?
9900(1+0.023)7
In which way will the line face in a exponential decay?
Left
What variable is our initial value?
a
Carlos has taken an initial dose of a prescription medication.
The relationship between the elapsed time t, in hours since he took his first dose, and the amount of medication, M(t), in milligrams in his blood stream is modeled below.
M(t)=20⋅e−0.8t
In how many hours will Carlos have 1 mg of medication remaining in his bloodstream?
t= 3.74
Is y=3x showing growth or decay rate?
Growth
What variable is our rate of change?
r
On the day that a certain celebrity proposes marriage, 10 people know about it. Each day afterward, the number of people who know triples.
Write a function that gives the total number n(t)of people who know about the celebrity proposing t days after the celebrity proposes.
n(t)=10(3)t
What is an asymptote?
A line that continually approaches a given curve but does not meet it at any finite distance.