Word Problems
Solving
Transformations
Key Features
Mystery
100
A bacteria culture starts with 100 bacteria and doubles every hour. How many bacteria will there be in 3 hours?
800
100
5^(b)=1
b=0
100
Given the parent function
f(x)=2^x
name transformation(s):
g(x)=2^(x+1)
Horizontal Shift Left 1
100
Identify the domain:
(-∞,∞)
100
What is the name of the wizard school Harry Potter attends?
Hogwarts
200
Steve has $10,000 and spends half of his current amount every month. Write the equation that represents the scenario. How much money does he have left after 4 months?
$625
200
5*6^(x)=1080
x=3
200
Given the parent function
f(x)=2^x
name transformation(s):
g(x)=2^(x-3)+1
Horizontal Shift Right 3 and Vertical Shift Up 1
200
Identify the interval of increase:
None!
200
In Finding Nemo, what kind of fish is Nemo?
Clownfish
300
A new car that sells for $18,000 depreciates 25% each year. Write a function that models the value of the car. Find the value of the car after 4 years.
$5,695.31
300
3^(v)-500=6061
v=8
300
Given the parent function
f(x)=2^x
name transformation(s):
g(x)=-1/3*2^(x+7)
Reflection over the x-axis, Vertical Shrink BAFO 1/3 and Horizontal Shift left 7
300
Identify the asymptote:
y=2(3)^(1/3x)+4
y=4
300
What is the longest river in the world?
The Nile River
400
In 2010, a small town in Texas had a population of 3000. If the population is increasing at a rate of 3.2% each year, what is the towns population today (2025)?
4811 people
400
1/4(4)^t+20=4,194,324
t = 12
400
Given the parent function
f(x)=2^x
name transformation(s):
g(x)=5*2^(-x)-1
Vertical Stretch BAFO 5, Reflection over the y-axis and Vertical Shift Down 1
400
Identify the range:
(2,∞)
400
Which video game series features the character Link?
The Legend of Zelda
500
Suppose you have $2000 that you want to deposit into a savings account. You earn 6% interest compounded annually. How much money will you have after 3 years?
$2,382.03
500
2*4^p-1=7
p=1
500
Given
f(x)=4^x
write a function that has a reflection over the x-axis, a horizontal stretch BAFO 3 and a vertical shift down 2
g(x)=-4^(1/3x)-2
500
Identify the positive and negative interval.
Negative Interval:
(-∞,1)
Positive Interval:
(1,∞)
500
What is the largest organ from the human body?
Skin