Q#4 Exponential Functions

The population of White-Tailed Deer in Maine, since 2010, is modeled by a function defined by P(t)=5500e^0.033t where t is the number of years since the population was first measured in 2010.

After how many years will the initial population of White-Tailed Deer in Maine double? Round your answer to the nearest year. The initial population of White-Tailed Deer in Maine will double after approximately how many years.

• 18 yrs

• 2031

• 21 yrs

• 2010

The revenues of two companies, company A and company B, can be modeled with exponential functions f and g, respectively. The graphs of the two functions are shown, where the revenue is in thousands of dollars and time, t is measured in years. The x-coordinate of the point of intersection is 9.

• The intersection is when the two companies have the same revenue.

• The intersection is when the revenues of two companies grow by the same amount.

• 
  When t>9, g(t)>f(t).

• The revenue for Company A increases at a slower rate than company B’s revenue.

• To determine the revenue for both companies when t=9, at least one of the functions must be known.

  
  

Suppose that the population of Great Blue Herons in South Florida, since 1992 is modeled by a function defined by P(t)=4000⋅e^0.0246t, where t is the number of years since the population was first measured. Based on this model, the initial population of Great Blue Herons in South Florida doubles by the year

• 28

• 2020

• 8000

• 2018

• The y-intercept is(0,−4).

• The function has two x-intercepts.

• The function is decreasing.

• The function is increasing.

• The y -intercept is(0,−2).

Fifteen years ago, Kiki opened a savings account that compounded interest monthly. The function A(t)=7500(1.0016)^12t can be used to determine Kiki's account balance, t years after the account was opened as shown on the graph.

• Domain is[0,∞).
  

• Kiki currently has approximately

  $10,000 in his account

• Left end behavior is as x→0, y→7500.

• Range is[7500,∞).

• Right end behavior is as x→−∞, y→0
  

Scientists are studying the transmission rate of a virus in mice. To begin the experiment, 7 mice are infected with the virus and are released into a larger population. The function P(t)=7e^0.0942tcan be used to estimate the number of infected mice after t hours as shown on the coordinate grid. What is the viable range?

• [7,∞)

• [0,∞)

• (-∞,∞)

• (-∞,7)

Scientists are studying the transmission rate of a virus in mice. To begin the experiment, 7 mice are infected with the virus and are released into a larger population. The function P(t)=7e^0.0942t can be used to estimate the number of infected mice after t hours as shown on the coordinate grid. After how many hours the virus infected 20 mice?

• 5

• 7

• 17

• 11

Which graph can be used to determine the solution of the equation −3⋅2^x+2=−15?

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• 4

• 1/2

• 16

• 2

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