22.1/22.2 Growth & Decay CW
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Last updated almost 5 years ago
17 questions
1
Annual sales for a fast food restaurant are $650,000 and are increasing at a rate of 4% per year.A. Write an exponential function that models this situation.
Annual sales for a fast food restaurant are $650,000 and are increasing at a rate of 4% per year.
A. Write an exponential function that models this situation.
1
Annual sales for a fast food restaurant are $650,000 and are increasing at a rate of 4% per year.B. Use your exponential function to find the annual sales after 7 years.
Annual sales for a fast food restaurant are $650,000 and are increasing at a rate of 4% per year.
B. Use your exponential function to find the annual sales after 7 years.
1
The population of a town is 2500 and is decreasing at a rate of 3.5% per year. A. Write an exponential function that models this situation.
The population of a town is 2500 and is decreasing at a rate of 3.5% per year.
A. Write an exponential function that models this situation.
1
The population of a town is 2500 and is decreasing at a rate of 3.5% per year. B. Use your exponential function to find the population of the town after 5 years.
The population of a town is 2500 and is decreasing at a rate of 3.5% per year.
B. Use your exponential function to find the population of the town after 5 years.
1
Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%.
A. Write an exponential function that models this situation.
Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%.
A. Write an exponential function that models this situation.
1
Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%.
B. Use your exponential function to find its approximate value after 8 years.
Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%.
B. Use your exponential function to find its approximate value after 8 years.
1
During a certain period of time, about 70 northern sea otters had an annual growth of 18%. A. Write an exponential function that models this situation.
During a certain period of time, about 70 northern sea otters had an annual growth of 18%.
A. Write an exponential function that models this situation.
1
During a certain period of time, about 70 northern sea otters had an annual growth of 18%. B. Use your exponential function to find the number of sea otters after 4 years.
During a certain period of time, about 70 northern sea otters had an annual growth of 18%.
B. Use your exponential function to find the number of sea otters after 4 years.
1
Kathy plans to purchase a car that depreciates at a rate of 12% per year. The initial value of the caris $21,000. A. Write an exponential function that models this situation.
Kathy plans to purchase a car that depreciates at a rate of 12% per year. The initial value of the car
is $21,000.
A. Write an exponential function that models this situation.
1
Kathy plans to purchase a car that depreciates at a rate of 12% per year. The initial value of the caris $21,000. B. Use your exponential function to find the value of the car after 3 years.
Kathy plans to purchase a car that depreciates at a rate of 12% per year. The initial value of the car
is $21,000.
B. Use your exponential function to find the value of the car after 3 years.
1
Use the following information to answer the next few questions:A population of fish, P, can be modeled by the following equation where t is the time in years.
Use the following information to answer the next few questions:
A population of fish, P, can be modeled by the following equation where t is the time in years.
A. What was the initial population of the fish at year 0?
1
Use the following information to answer the next few questions:A population of fish, P, can be modeled by the following equation where t is the time in years.
Use the following information to answer the next few questions:
A population of fish, P, can be modeled by the following equation where t is the time in years.
B, Was the rate of the fish population growing or decaying? How do you know?
1
Use the following information to answer the next few questions:A population of fish, P, can be modeled by the following equation where t is the time in years.
Use the following information to answer the next few questions:
A population of fish, P, can be modeled by the following equation where t is the time in years.
C. At what rate was the population of fish growing or decaying? [Answer should be a percent]
1
Use the following information to answer the next few questions:A population of fish, P, can be modeled by the following equation where t is the time in years.
Use the following information to answer the next few questions:
A population of fish, P, can be modeled by the following equation where t is the time in years.
D. At this rate, what is the population of the fish after 10 years?
1
The school currently has 956 students. 9 years ago, the population of the school was 800 students and has increased by a constant factor, p. Write an equation that represents this scenario.
The school currently has 956 students. 9 years ago, the population of the school was 800 students and has increased by a constant factor, p.
Write an equation that represents this scenario.
1
Tell whether each representation is Linear or Exponential.
Tell whether each representation is Linear or Exponential.
- y=2x
- y=2^x
- LINEAR
- EXPONENTIAL
1
Given the table below find the average rate of change on the interval 2 < x < 3
Given the table below find the average rate of change on the interval 2 < x < 3