
Exponential Growth and Decay Applications - Week 2 of RLD
Authored by Matthew Fahrenbacher
Mathematics
9th - 12th Grade
CCSS covered
Used 7+ times

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18 questions
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1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Some banks charge a fee for a savings account that is left inactive for an extended period of time. The equation y = 5000(0.98)x represents the amount remaining, y, of one account that was left inactive for a period of x years. What does the number 5000 represent in this situation?
Tags
CCSS.HSF.LE.B.5
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
The function to find the value of a car after t years is given by v(t) = 24,000(.75)tWhich of the following statements is not true?
The starting value of the car was $24,000.
The y-values of the graph increase as the x-values increase.
The value 0.75 indicates this is an exponential decay situation.
The horizontal asymptote is y = 0, which means the car will never have a value of $0.
Tags
CCSS.HSF.LE.A.1
CCSS.HSF.IF.A.2
CCSS.HSF.IF.B.4
CCSS.HSF.IF.C.7
CCSS.HSF.LE.A.3
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
Tags
CCSS.HSF.LE.A.2
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?
Tags
CCSS.HSF-LE.A.1C
5.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
The value of your new laptop can be modeled by the equation where t is the number of years you've had the laptop. What is the annual depreciation rate of the laptop?
84%
0.84%
16%
0.16%
Tags
CCSS.HSF.LE.A.1
CCSS.HSA.SSE.A.1
CCSS.HSF.LE.B.5
6.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Your shiny new boat cost $7650. The depreciation for your boat is 14% per year. Which expression would allow you to estimate the value of your vehicle in 3 years?
7650(0.14)3
7650(.86)3
7650(1.86)3
7650(1.14)3
Tags
CCSS.HSF.LE.A.2
CCSS.HSF.LE.A.1
CCSS.HSA.CED.A.1
CCSS.HSA.SSE.A.1
7.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Gasoline costs $1.99 per gallon. If the price per gallon increases an average of 6% per month, which function models the exponential growth of the pricing per month?
y = 1.06(1.99)t
y = 1.99(1.06)t
y = [1.06(1.99)]t
y = 1.99(.94)t
Tags
CCSS.HSF.LE.A.2
CCSS.HSF.LE.A.1
CCSS.HSA.CED.A.1
CCSS.HSF.BF.A.1
CCSS.HSF.LE.B.5
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