Exponential Function

The population of a colony of bacteria cells grows with time. The table shows the population of cells on each day for 6 days. What type of data are the population of cells as a function of time?

• Exponential

• Linear

• Quadratic

• Sinusoidal

• The population doubles each year.

• The population will reach a maximum of 4800 people.

• The population was 4800 when the collection of population data began.

• The population grew by 102 people each year since the collection of population data began.

The population of Austinberg on January 1, 2000 was 1.4 million. The

population has decreased at a rate of 12% each year since. Which

equation models the population (in millions), p, of Austinberg t years

after January 1, 2000?

• 32

• 24

• 8

• 9

• 13,113

• 12,000

• 11,650

• 360

Which situation is best modeled by an exponential function?

• the cost to rent a bicycle from a company that charges a flat rate plus

  x dollars per day

• the amount of a substance remaining after x years if it is decreasing

  at a rate of 25% annually

• the number of gas stations in a town that had 4 stations in 2010 and x new stations have opened each year since

• the distance a car is from a fixed point if the car was originally 200

  feet from that point and traveled at a speed of x miles per hour

• Initially, there were 4 bacteria in the petri dish.

• Initially, there were 80 bacteria in the petri dish.

• The number of bacteria in the petri dish increases by 20 every hour.

• The number of bacteria in the petri dish quadruples every hour.