Vocabulary
Evaluate
Exponential Functions
Word Problems
Anything Goes
100
Growth or Decay?
y=12500(1.025)x
Growth
100
Solve to the nearest hundredth
y=13000(1-0.15)5
5768.17
100
In the Exponential Growth function what does the P stand for?
Principal, Initial Value, OR Y-Intercept
100
The rent for an apartment was $6,600 per year in 2012. If the rent increased by a rate of 4% each year there after. Use the function y=6600(1.04)x to find the price of the apartment in 2017.
$8029.91
100
Write an example of an exponential decay function.
Answers will vary
200
What is the Initial Value?
y=300(1.08)x
300
200
Evaluate to the nearest whole number
y=422000(1+0.12)8
1,044,856
200
Does this exponential function represent a growth or decay?
Growth
200
The population of a town was 14,000 in 2010. If the population decreased at a rate of 1.5% each year use the function, y=14000(0.985)x, to find the population after 10 years.
12,036 people
200
How do you change the rate into a decimal?
Divide the percent by 100
BEYONCE
300
What is the Decay Rate?
y=1600(0.94)x
6% or 0.06
300
Given the table what would be the value at x=8
768
300
Create a table for the following Exponential function using -2, -1, 0, 1, and 2 for your x values
y=(1/3)x
300
During a certain time period , about 70 northern sea otters had an annual growth rate of 18%. Write and solve an exponential function to find the number of sea otters in 4 years.
136 Sea Otters
300
Write the exponential regression for the following table
y=276.389(1.2)x
400
What is the Factor?
y=510(0.975)x
0.975
400
Create and evaluate the following exponential function to the nearest whole number
Decay
Initial value: 12500
Decay rate: 3.5%
5 years
y=12500(1-.035)5
10,460
400
Please create the equation given the following information
Growth
Initial Amount 120,500
Growth Rate: 13.5%
y=120500(1.135)x
400
The population of a town is 2500 and is decreasing at a rate of 3.5%. Write and solve an exponential function to find the population after 5 years.
2092 people
400
In 1985, there were 285 cell phone subscribers in Mayville. the number of subscribers increases by 75% per year after 1985. Find the number of subscribers in 2008.
110,845,988 Subscribers
500
Must answer all correct to receive points!
Please state: Growth or Decay, Initial Value, Factor, and Rate
y=70(1.18)x
Growth
70
1.18
18%
500
The students at a local high school is 300 and is increasing at a rate of 8% per year. Write an exponential function to find the number of athletes after 5 years.
Only need the function
y=300(1.08)5
500
Write the equation for the given table.
y=1015.99(1.5)x
500
Kathy plans to purchase a car that depreciates at a rate of 12% per year. The car costs Kathy $21,000. Write and solve an exponential function to find the value of the car after 3 years.
$14,310.91
500
Must answer all correct to receive points!
Please state: Growth or Decay, Initial Value, Factor, and Rate
y=235,000(0.875)x
Decay
235000
0.875
12.5% OR .125