
Exponential Decay Ratio
Presentation
•
Mathematics
•
9th - 10th Grade
•
Hard
Joseph Anderson
FREE Resource
5 Slides • 12 Questions
1
IA: 1.8 Exponential Growth and Decay
2
3
Multiple Choice
What does the "a" represent in exponential growth and decay formulas?
rate of change
rate of growth or decay
initial value
time
4
Multiple Choice
What does the "r" represent in an exponential growth or decay function?
rate of change
rate of growth or decay
initial value
time
5
Multiple Choice
What does the "t" represent in exponential growth or decay functions?
rate of change
rate of growth or decay
initial value
time
6
Multiple Choice
What is the equation for exponential growth and decay?
f(x)=a⋅(r)t
f(x)=t⋅(a)r
f(x)=r⋅(t)a
f(x)=a⋅(t)r
7
8
Multiple Choice
The cost of tuition at a college is $12,000 and is increasing at a rate of 6% each year. Use an exponential function to find the tuition cost after 4 years.
$12,072.31
$15,149.72
$52,163.27
9
Multiple Choice
Annual sales for a company are $149,999 and are increasing at a rate of 6% per year. Use an exponential function to find the annual sales after 7 years.
$225,543.04
$1,180,027.93
$97,270.99
10
Multiple Choice
In 1985, there were 285 cell phone subscribers in Mayville. The number of subscribers increased by 75% per year after 1985. Find the number of subscriber in 2008.
79,660 subscribers
200,235,420 subscribers
110,845,988 subscribers
11
12
Multiple Choice
The value of a car is $18,000 and depreciating at a rate of 12% per year. Use an exponential function to find the value of the car after 10 years.
$5,013.02
$12,128.74
$6,838.98
13
Multiple Choice
An investment of $8200 loses value at a rate of 2% per year. Use an exponential function to find the value of the investment after 9 years.
$4,147.02
$6,836.73
$5,105.17
14
Multiple Choice
The population of a town is decreasing at a rate of 2.5% per year. If the population in 2000 was 28,000, what is the expected population in 2015 if this rate of decrease continues?
15,000 people
17,296 people
19,153 people
15
16
Open Ended
Do you have any questions about this lesson?
17
Multiple Choice
What does the "r" represent in an exponential growth or decay function?
rate of change
rate of growth or decay
initial value
time
IA: 1.8 Exponential Growth and Decay
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