Percent of growth/decay
Parts of exponentials
Sequences
Linear vs. Exponential
100
Is this function growth or decay? Why?
f(x)=450(1.23)^x
Growth. The factor is greater than 1
100
What is the initial value in this equation?
f(x)=27(.98)^x
27
100
Is this sequence arithmetic or geometric? Why?
1,2,4,8,16,...
Geometric. It is multiplying by 2 each time.
100
What are the key words in the definition to justify something is a linear function?
Equal differences over equal intervals
200
What is the decay rate for this function?
f(x)=4(.94)^x
6%
200
What is the factor of this table?
3.25
200
Write an explicit formula for the following sequence.
5, 7, 9, 11, ...
an=5+2(n-1)
200
What are the key words in the definition to justify something is an exponential function?
Equal Factors over equal intervals
300
Which function has a greater rate of growth?
g(x)=100(1.03)^x
f(x)
300
Write the equation that best models this population described in the table.
f(x)=40(2)^x
300
Assuming the pattern continues, write the function that can be used to find the total number of days is rained at the end of n months?
f(n)=7n+1
300
A tree grows at constant rate of 7ft per year.
Linear
400
Andy deposits $200 into a savings account. Each week it earns interest at 7%. How much money will Andy have after 18 weeks?
$675.99
400
What is the yearly interest rate in the following interest equation?
f(t)=425(1+.08/12)^(12t)
8%
400
Write the explicit equation for the following sequence.
27, 9, 3, 1, ...
an=27(1/3)^(n-1)
400
A car depreciates at a constant rate of 7% per year.
Exponential
500
Write an exponential function that decays at a rate of 0.67% with an initial value of 7.
f(x)=7(.9933)^x
500
Tate sends an email to 7 friends. Each of his 7 friends passes it along to 7 of their friends. Write an equation that would model this situation.
y=7x
500
Consider the sequence.
45, 53, 61, 69, ...
What would be the 32nd term of the sequence?
293
500
Something falling to the ground at a rate of 5m feet per second where m is the number of minutes.
Neither. Quadratic.