Topic 1
What is the initial value in the exponential expression: 205,000(0.06)t
205,000
Using the table on the board:
If x is 4, what is y?
y=81=27*3
Andrea just got her first job and decides to put $1200 in an account that earns interest. She plans to make no other deposits or withdrawals for 16 years. After 16 years, she wants to put a down payment on a house.
Option 1: An account that grows by 16.8% per year.
Option 2: An account that grows by $350 per year.
Which option is linear? Which one is exponential?
Option 1- Exponential
Option 2- Linear
Which singer’s real name is Stefani Joanne Angelina Germanotta?
Lady Gaga
Does Mr. Kussmann like Starbucks or Dunkin more?
Dunkin
Manny paid $205,000 for a condominium in 2010. The value of the homes in the neighborhood have been appreciating by about 6% annually.
True or False:
205,000(1+0.06)x is the exponential expression to represent this.
True
Using the table on the board:
If x=5, what is the output?
y=243=81*3
Andrea just got her first job and decides to put $1200 in an account that earns interest. She plans to make no other deposits or withdrawals for 16 years. After 16 years, she wants to put a down payment on a house.
Option 1: An account that grows by 16.8% per year.
Option 2: An account that grows by $350 per year.
What is the equation for option 2?
y=1200+350x
Tennis star Serena Williams won which major tournament while pregnant with her first child?
The Australian Open
What sport(s) does Mr. Kussmann coach?
Basketball
Manny paid $205,000 for a condominium in 2010. The value of the homes in the neighborhood have been appreciating by about 6% annually.
True or False:
205,000(0.06)x is the exponential expression to represent this.
False
Using the table on the board:
How does f(x) change each time x increases by 1? Explain/show your reasoning.
As x increases by 1, y is multiplying by 3.
Andrea just got her first job and decides to put $1200 in an account that earns interest. She plans to make no other deposits or withdrawals for 16 years. After 16 years, she wants to put a down payment on a house.
Option 1: An account that grows by 16.8% per year.
Option 2: An account that grows by $350 per year.
What is the equation for option 1?
y=1200(1.168)x
In a website browser address bar, what does “www” stand for?
World Wide Web
How many years has Mr. K been teaching at Romeoville?
1
Manny paid $205,000 for a condominium in 2010. The value of the homes in the neighborhood have been appreciating by about 6% annually.
After 8 years, what is the cost of the condominium? 205,000(1+0.06)x
$326,738.86
Using the table on the board:
By what factor does f(x) change from x=2 to x=5? Explain/show your reasoning.
3*3*3=27
From x=2 to x=5, the output is multiplied by 27.
Andrea just got her first job and decides to put $1200 in an account that earns interest. She plans to make no other deposits or withdrawals for 16 years. After 16 years, she wants to put a down payment on a house.
Option 1: An account that grows by 16.8% per year.
Option 2: An account that grows by $350 per year.
For option 1, how much would she have for a down payment after 16 years?
$14,396.83
What is the tiny piece at the end of a shoelace called?
The aglet
What is the most common letter in the English alphabet?
E
Manny paid $205,000 for a condominium in 2010. The value of the homes in the neighborhood have been appreciating by about 6% annually.
In 2021, what is the cost of the condominium? 205,000(1+0.06)x
$389,151.20
Using the table on the board:
What is the exponential equation to represent this?
y=1(3)x
Andrea just got her first job and decides to put $1200 in an account that earns interest. She plans to make no other deposits or withdrawals for 16 years. After 16 years, she wants to put a down payment on a house.
Option 1: An account that grows by 16.8% per year.
Option 2: An account that grows by $350 per year.
For option 2, how much would she have for a down payment after 16 years?
$6,800
What is the tallest breed of dog in the world?
Great Dane
What animal is constitutionally protected in Florida?
Pig