Exponential Functions
Escape Room
Complete each level by writing and solving exponential functions.
START
Level 1
Determine the appropriate exponential growth or decay function for each scenario. Be sure to keep track of your answers to help you determine the code!
01
Your school suffered an outbreak of COvid on tuesday. initially, 20 students came to school while infected. however, the number of infected students increased 25% per hour. which function models tuesday's outbreak?
y = 20(1-25)
y = 20(1-0.25)
y = 20(1+0.25)
y = 20(1+ 25)
02
An internet survivor game had 50,000 participants; however, the game kicks off 20% of the participants each day. Which function models this game?
y = 50000(1.2)
y = 50000(0.8)
y = 50000(120)
y = 50000(80)
03
A brand new car costs $35,000. The value of the car decreases by 18% annually. Which function models the yearly value of the car since its purchase?
y = 35000(0.18)
y = 35000(-0.18)
y = 35000(1.18)
y = 35000(0.82)
04
The population of Zoe's hometown was 75,000 people last year. The population is growing at a rate of 2.4% each year. Which function models the growth of this city?
y = 75000(1.024)
y = 75000(0.976)
y = 750000(0.76)
y = 75000(1.24)
Level 1 Password
Level 2
Solve each problem. Write the letter from the problem on the blank above the correct answer to solve a riddle.
Level 2 Password
(Don't forget to include the space)
Why is Peter Pan always flying?
Level 3
Use your answers to guide you to the end of the maze to make your escape. Be sure to keep track of the letter associatied with each answer (in order)!
Karin has $70 in a savings account that earns 10% interest compounded annually. To the nearest cent, how much interest will she earn in 3 years?
What is the value, in millions of dollars, of a downtown office building that cost 12 million dollars to build 20 years ago and depreciated at 9% per year?
You have 120 grams of a radioactive form of nitrogen. If its half-life is 10 minutes, how much will be left after 20 minutes?
John deposited $80 in a savings account earning 5% interest compounded annually. To the nearest whole dollar, how much interest will he earn in 3 years?
1.66
12.61
30
Start
2.19
8.2
60
15
23.17
1.99
1.82
The value of a textbook is $69 and decreases at a rate of 15% per year for 11 years. What will be the value of the textbook, in dollars, after this period of time?
The half-life of a radioactive kind of cadmium is 14 years. How much will be left after 28 years, if you start with 72 grams of it?
Stacy has $500 in her account after 4 years earning 2.5% interest compounded annually. How much money, in dollars did she start with?
An old coin is sold for $2, and it's value increases by 8% each year after it is sold. What is the value of the coin, in dollars, in 10 years?
11.52
3.99
13.58
18
453
4.66
4.32
A tennis tournament begins with 128 participants. During each round, half of the players are eliminated. How many player remain after 5 rounds?
A baby weighing 7 pounds at birth may increase in weight by 11% per month for the first 12 months. How much will the baby weigh after 1 year?
How much of a radioactive kind of francium will be left after 15 minutes if the half-life is 5 minutes and you start with 80 grams?
10
24.5
Level 3 Password
All Caps (order matters)
Writing Equations of Exponential Functions Escape Room
KELLY HOWORTH
Created on January 26, 2022
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Transcript
Exponential Functions
Escape Room
Complete each level by writing and solving exponential functions.
START
Level 1
Determine the appropriate exponential growth or decay function for each scenario. Be sure to keep track of your answers to help you determine the code!
01
Your school suffered an outbreak of COvid on tuesday. initially, 20 students came to school while infected. however, the number of infected students increased 25% per hour. which function models tuesday's outbreak?
y = 20(1-25)
y = 20(1-0.25)
y = 20(1+0.25)
y = 20(1+ 25)
02
An internet survivor game had 50,000 participants; however, the game kicks off 20% of the participants each day. Which function models this game?
y = 50000(1.2)
y = 50000(0.8)
y = 50000(120)
y = 50000(80)
03
A brand new car costs $35,000. The value of the car decreases by 18% annually. Which function models the yearly value of the car since its purchase?
y = 35000(0.18)
y = 35000(-0.18)
y = 35000(1.18)
y = 35000(0.82)
04
The population of Zoe's hometown was 75,000 people last year. The population is growing at a rate of 2.4% each year. Which function models the growth of this city?
y = 75000(1.024)
y = 75000(0.976)
y = 750000(0.76)
y = 75000(1.24)
Level 1 Password
Level 2
Solve each problem. Write the letter from the problem on the blank above the correct answer to solve a riddle.
Level 2 Password (Don't forget to include the space)
Why is Peter Pan always flying?
Level 3
Use your answers to guide you to the end of the maze to make your escape. Be sure to keep track of the letter associatied with each answer (in order)!
Karin has $70 in a savings account that earns 10% interest compounded annually. To the nearest cent, how much interest will she earn in 3 years?
What is the value, in millions of dollars, of a downtown office building that cost 12 million dollars to build 20 years ago and depreciated at 9% per year?
You have 120 grams of a radioactive form of nitrogen. If its half-life is 10 minutes, how much will be left after 20 minutes?
John deposited $80 in a savings account earning 5% interest compounded annually. To the nearest whole dollar, how much interest will he earn in 3 years?
1.66
12.61
30
Start
2.19
8.2
60
15
23.17
1.99
1.82
The value of a textbook is $69 and decreases at a rate of 15% per year for 11 years. What will be the value of the textbook, in dollars, after this period of time?
The half-life of a radioactive kind of cadmium is 14 years. How much will be left after 28 years, if you start with 72 grams of it?
Stacy has $500 in her account after 4 years earning 2.5% interest compounded annually. How much money, in dollars did she start with?
An old coin is sold for $2, and it's value increases by 8% each year after it is sold. What is the value of the coin, in dollars, in 10 years?
11.52
3.99
13.58
18
453
4.66
4.32
A tennis tournament begins with 128 participants. During each round, half of the players are eliminated. How many player remain after 5 rounds?
A baby weighing 7 pounds at birth may increase in weight by 11% per month for the first 12 months. How much will the baby weigh after 1 year?
How much of a radioactive kind of francium will be left after 15 minutes if the half-life is 5 minutes and you start with 80 grams?
10
24.5
Level 3 Password
All Caps (order matters)