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WorksheetsGrowth or Decay Word Problems
Total questions: 19
Worksheet time: 19mins
A new savings account is opened with $400 and gains 3% every year. Is this a growth or decay?
growth
decay
The value of a car is $15,000 and depreciates at a rate of 8% per year. Is this a growth or decay?
growth
decay
Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. Is this a growth or decay?
decay
growth
Using the exponential function equation f(x)=ab^x, where a is the starting value and b is the growth or decay, and x is the time, find the population of rabbits after 6 months if the population triples every month and initially there are 50 rabbits.
50000
145800
3000
800
Using the exponential function equation f(x)=ab^x, where a is the starting value and b is the growth or decay, and x is the time, find the value of a house after 15 years if it initially worth $250,000 and increases by 5% each year.
$405,518.75
$500,000
$425,000
$375,000
Using the exponential function equation f(x)=ab^x, where a is the starting value and b is the growth or decay, and x is the time, find the population of bacteria after 5 hours if it doubles every hour and initially has 100 bacteria.
500
3200
2000
1000
The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)t where t is the number of years since 1990. What is the population of the town 21 years later?
6191
9912
72519
14108
Using the exponential function equation f(x)=ab^x, where a is the starting value and b is the growth or decay, and x is the time, find the population of fish after 8 weeks if the population doubles every week and initially there are 1000 fish.
128000
512000
64000
256000
The foundation of your house has about 1,200 termites. The termites grow at a rate of about 2.4% per day. How long until the number of termites doubles?
29 to 30 days
23 to 24 days
15 to 16 days
19 to 20 days
You have inherited a house that was purchased for $100,000 in 2010. The value of the house increased by approximately 2% per year. What is the approximate value of the house 11 years later ?
$124,337
$80,073
$743,008
$138,423
Suppose you deposit $3000 in a savings account that pays interest at an annual rate of 4%. Is this a growth or decay?
decay
growth
Your shiny new boat cost $7650. The depreciation for your boat is 14% per year. Is this a growth or decay?
decay
growth
Gasoline costs $1.99 per gallon. The price per gallon increases an average of 6% per month. Is this a growth or decay?
growth
decay
Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Is this a growth or decay?
growth
decay
In 1985, there were 285 cell phone subscribers in the small town of Centerville. The number of subscribers increased by 75% per year after 1985. Is this a growth or decay?
decay
growth
You buy a new computer for $2100. The computer decreases by 50% annually. Is this a growth or decay?
decay
growth
Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. Is this a growth or decay?
growth
decay
Exponential growth is y=a(1+r)x , and exponential decay is y=a(1−r)x . What does "r" represent?
Initial amount
Rate of growth or decay
Time
End amount
Annual sales for a fast food restaurant are $650,000 and are increasing at a rate of 4% per year. Use an exponential function to find the annual sales after 7 years.
Round to two decimal places (like dollars and cents).
(a)
