Writing Equations
Sequences
Linear vs. Exponential
Trivia
100
What is the starting amount?
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 some key words that tell you a problem is linear?
Increases, decreases, each day/week/month..., same rate...
100
What's the capital of Chile?
Santiago
200
It costs 40 dollars to join a gym and an additional $10 per month.
Write the equation to model the situation.
y=10x+40
200
Write a formula for the following sequence.
5, 7, 9, 11, ...
an=5+2(n-1)
200
What are some key words that tell you a problem is exponential?
triple, double, half, third, percentages...
200
What's the largest organ in your body?
Skin
300
Write the equation that best models this population described in the table.
f(x)=40(2)^x
300
Make an equation given this sequence
-4, -2, 0, 2...
an=-4+2(n-1)
300
A tree grows at constant rate of 7ft per year.
Linear
300
This musical artist's real name is Benito Antonio MartÃnez Ocasio.
Bad Bunny
400
Ariahna deposits $3500 into a savings account and earns 5% yearly interest. Write an exponential equation to represent her savings by year.
8%
f(x)=3500(1.05)^(x)
400
Write an equation for the following sequence.
27, 9, 3, 1, ...
an=27(1/3)^(n-1)
400
A car worth $4000 appreciates at a rate of 7% per year.
Exponential
y=4000(1.07)^x
400
How many years did the oldest person live to?
122 years and 164 days
500
Andy deposits $200 into a savings account. Each week it earns interest at 7%. How much money will Andy have after 18 weeks?
f(x)=200(1.07)^18
$675.99
500
Consider the sequence.
45, 53, 61, 69, ...
What would be the 22nd term of the sequence?
213
500
A stock in the market that started at $5200 rose at a 14% rate the past two days.
Exponential
y=5200*(1.14)^2
500
When Alan Shepherd was sent to the moon, what sport did he play there?
Golf