Finding Rate
Exponential Basics
Story Problems
Compound Interest
Contento Trivia
100
How do you find the rate of an exponential?
1 - ( ) x 100
100
What does x stand for in y = a(b)x
measurement of time
100
Keytavious is obsessed with buying new shoes. He buys a limited edition pair of Jordans for $550. These shoes grow in value by 4% each year. Would you want to use the growth or decay formula to find out how much the shoes would be worth in 5 years?
Growth formula
100
How do you convert a percent to a decimal?
Divide by 100
or
Move the decimal 2 places to the left.
100
How old am I?
29
200
Find the growth or decay rate of the following: y = 13(1.7)x
Growth 70%
200
Does the expression y = 5900(0.67)x show growth or decay?
decay
200
The function p(t) = 8(3)t represents the population of a certain type of bacteria after t days. What is the population of the bacteria after 6 days?
5832
200
What does the "n" stand for in the compound interest formula?
How many times per year the interest is being compounded.
200
How many dogs do I have?
2
300
Find the growth or decay rate of y = 1200(0.23)x
decay of 77%
300
The population of Huntsville in 2010 was 95,000. The population decays by 10.5% each year. Write the equation that represents the population after x years. Simply for your answer to be in standard form.
y = 95,000(.895)x
300
A new hot chicken restaurant sold 250 chicken sandwiches the first day it was open. The number of sandwiches sold increases by 2% each day after. The equation f(x) = 250(1.02)x gives the number of chicken sandwiches sold each day after the restaurant's opening. About how many sandwiches will be sold on the 5th day?
276
300
You invest $1,900 at 4% and it’s compounded semiannually for 3 years. How much will your $1,900 be worth in 3 years?
$2139.71
300
Where am I from?
Cleveland, OH
400
The balance of an account after t years can be found using the expression 7000(1.09)t where the initial balance was $7000. By what percent does the account increase annually?
9%
400
The Cleveland History Museum had 35,000 visitors in 2004. The number of visitors has decreased by 3.5% each year since 2004. Write a function v(t) to represent the number of visitors to the Cleveland History Museum t years after 2004.
y = 35,000(1 - .035)t
400
A type of bacteria are exponentially increasing at a rate of 3%. If the initial number of bacteria is 1 gram. Evaluate how much bacteria there will be after 100 years. Round to the nearest hundredth.
19.22
400
You borrow $6,000 at 3.5% and it’s compounded quarterly for 6 years. How much will you owe after the 6 years?
$7,395.31
400
How many years have I been teaching here?
7 years
500
The expression 89,000(0.995)t represents the population of a town t years after 1990. The population of the town (increases or decreases) by (0.5%, 0.995%, 5%, 99.5%, or 995%) each year. Choose the correct answer in parentheses. (YOU SHOULD HAVE 2 ANSWERS)
decrease by 0.5%
500
What is the initial value of the graph below? 
1
500
In 2001, the population of Nashville was 57,000 people. If the population increases by 11.5% each year. What is the population of Nashville in 2020?
450,917
500
You invest $5,400 at 4.2% and it’s compounded semiannually for 3 years. How much have you earned just in interest?
$717.14
500
What will be my new last name in November?
Coleman