Exponential Growth
Exponential Decay
Exponent Rules
Interest
Negative Exponents
100
Write an equation representing the table below.
y=3*4^x
100
Rank these foods from best to worst:
Fried Chicken
Hash Browns
Pickles
Bacon
Bacon, Hash Browns, Fried Chicken, Pickles
100
Rewrite this expression with one exponent:
z^10*z^5
z^15
100
You invested $29,400 for three years that has a 2.9% annual interest rate. After three years, how much is your $29,400 worth?
$32,032.69
100
What is Ms. Bunton's baking business called?
Baked with Clare
200
Write an equation representing the table below.
y=3*4^x
200
Write an equation representing the table below.
y=6*(1/2)^x
200
Rewrite the following expression with one exponent:
f^10/f^7
f^3
200
How long have Ms. Bunton and Mr. Zolen known each other?
22 years (because we are half siblings)
200
Today, my kitten Peter has 200 pebbles of food. The equation
f(x)= 200*(4/5)^d
represents how much food he eats after d days. f(-3)=391. Explain what f(-3) means in this context.
3 days ago, Peter had 391 pebbles of food.
300
Margaret's parents put $1000 in a bank account for her. They told her they would add 10% every year. Write an equation representing this story.
y=1000*1.10^x
300
Write an equation representing the table below.
y=20*(1/2)^x
300
Rewrite the following expression with one exponent:
(g^3)^6
g^18
300
The $10,000 you borrowed for your car has an interest rate of 5.6% per year. If you paid your car off in 2 years, how much would it cost?
$11,151.36
300
The function f defined by
f(x)=15*(1.07)^x
models the cost of tuition, in thousand of dollars, at a local college x years since 2017. f(-7)=9.34.
In 2010, the tuition was 9.34 thousand dollars.
400
Name one of the Alpha Wolf 11 first semester winners for 9th or 10th grade.
9th: Zander Creamer and Omar Resendiz-Parra
10th: Tarren Calvert and Berlinda Pablo-Pablo
400
Alenyx cuts off 10% of her fingernail every minute. Her nail starts off at 10 cm long. Write an equation representing f, the length of the fingernail, after m minutes.
f=10*(9/10)^m
400
What pie was Ms. Bunton and Mr. Zolen wearing on their heads on pi day?
Pumpkin Pie
400
Your $780 investment sees interest at 7.5% which is compounded monthly for 7 years. What is your total investment worth plus interest after 7 years?
$1316.41
400
The equation
p=5000*2^t
represents the population of an invasive fish species in a large lake, t years since 2005, when the fish population in the lake was first surveyed. If t=-2, p=1250. Explain what t=-2 means in this context.
In 2003, there were 1250 fish in the lake.
500
Write an equation representing the graph below.
y=2*3^x
500
Write an equation representing the graph below.
y=200*(1/10)^x
500
Rewrite this expression with one exponent:
(w^2.5)^6
w^15
500
Your mortgage of $47,400 has an interest rate of 8.3% compounded quarterly for 3 years. How much would the mortgage cost after 3 years?
$60,647.23
500
The value of a home in 2015 was $400,000. Its value has been doubling each decade. The equation
v=400000*2^d
represents the price of the home after d decades. If d=-5, v=12,500. Explain what d=-5 means in the context of this story.
In 1965, the price of the home was $12,500.