Tell whether each representation is Linear or Exponential.
Tell whether each representation is Linear or Exponential.
y=2x y=2^x 
LINEAR
EXPONENTIAL
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.
B. Use your exponential function to find the annual sales after 7 years.
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.
B. Use your exponential function to find the population of the town after 5 years.
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%.
B. Use your exponential function to find its approximate value after 8 years.
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%.
B. Use your exponential function to find the number of sea otters after 4 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.
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.
B. Use your exponential function to find the value of the car after 3 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?
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?
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]
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?
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.
Tell whether each representation is Linear or Exponential.
LINEAR
EXPONENTIAL
Given the table below find the average rate of change on the interval 2 < x < 3
