Exponential Model

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
What does the value 1.015 represent?

• The number of elephants was 1,015 in 1975.

• The number of elephants increases by 1.5% each year.

• The number of elephants increases by 101.5% each year.

• The number of elephants is multiplied by 1.015 each year.

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(1 - 0.30)^x

• y=30(5000)^x

• y=5000(1 + 0.30)^x

• y=5000x^x

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x

• y = 15(1.35)^x

• y = 15(0.35)^x

• y = 35(1.15)^x

The exponential function modeled below represents the number of square kilometers of land occupied by cane toads x years after this animal was first introduced into Australia. Which function best models this data?

The exponential function modeled below represents the number of square kilometers of land occupied by cane toads x years after this animal was first introduced into Australia. Which function best models this data?

Logarithmic functions are the inverse of _________________

• exponential functions

• linear functions

• quadratic functions

• cubic functions

Which has a horizontal asymptote?

• Exponential

• Logarithmic

• Both

As reported in the Washington Post on Thursday, April 2, 2020, the number of reported Carona Virus cases in the Washington DC metropolitan area was 4698. On March 5, the first 3 cases were reported. Using an exponential regression, use the above data to estimate the number of cases in the DC metropolitan area on April 6.

• 7945

• 7495

• 9745

• 9475