Exponential Functions

• k = 1

• k = 2

• k = 3

• k = 4

• The function is an exponential function

• The function has a domain of all real numbers

• As the value of x gets very large the value of y gets close to zero

• As the value of x increases by one the value doubles

If a student deposits $1500 in the bank and earns an annual interest rate of 8% how much will he have after 15 years?

• $4,754.82

• $4,754.83

• $4,754.84

• $4,754.85

• The function shows exponential growth.

• The function shows exponential decay.

• The function is a linear function.

• The y intercept is 3.

The population of Barnardsville in 2014 was estimated to be 24,000 people with an annual rate of increase (growth) of about 2.4%. Which function would give you the estimated total population, y, of Barnardsville in 2021?

• y = 24000 (1+ 2.4)^{21}

Matt bought a new car at a cost of $28,000. The car depreciates approximately 15% of its value each year. Which function would give you the estimated value of the car, y, after t years?

Kelly plans to put her graduation money into an account and leave it there for 4 years while she goes to college. She receives $900 in graduation money that she puts into an account earning 4.25% interest annually. How much will be in Kelly’s account at the end of four years?

• $1,052.87

• $1,063.03

• $3,711.09

• $293,628.5

Maggie recorded the population for two different cities in North Carolina. The results are shown in the table below. Which statement best describes her data?

• Both cities’ population changed at a constant rate.

• Both cities’ population changed at an exponential rate.

• City 1 increased its population at a constant rate, and City 2 increased its population at an exponential rate.

• City 1 increased its population at an exponential rate, and City 2 increased its population.

• 4√x

• 1/4√x