CA Final Exam review 1

The number of bacteria in a culture is given by the exponential function y = 900e^0.5t

where t is measured in hours. What is the continuous rate of growth of this bacteria as a percent?

• 5%

• 50%

• 0.5%

• 10%

Tags

CCSS.HSF-IF.C.8B

The number of bacteria in a culture is given by the exponential function y = 900e^0.5t

where t is measured in hours. What is the initial population of the culture (at t = 0 hours)?

• 900

• 1000

• 800

• 950

Tags

CCSS.HSF.LE.B.5

What is the family of the equation y =1/4^x ?

• Exponential

• Linear

• Quadratic

• Polynomial

If X = -1, what is the value of Y for the equation y = (1/4)^x?

• 4

• 1/4

• 1

• 0

Tags

CCSS.HSF-IF.C.8B

If X = 0, what is the value of Y for the equation y = (1/4)^x?

• 4

• 1/4

• 1

• 0

Tags

CCSS.HSF-IF.C.8B

If X = 1, what is the value of Y for the equation y = (1/4)^x?

• 4

• 1/4

• 1

• 0

Tags

CCSS.HSF.BF.B.5

Which of the following are TRUE statements? Check all that apply.

• A. In the equation $ y = 5(1.06)^x $, the growth rate as a % is 1.06%.

• B. In the equation $ y = 5(0.25)^x $, the decay rate as a % is 25%.

• C. In the equation $ y = 5(0.25)^x $, the decay rate as a % is 75%.

• D. In the equation $ y = 5(0.25)^x $, the decay rate as a % is 0.25%.

• E. In the equation $ y = 5(1.06)^x $, the growth rate as a % is 6%.

Tags

CCSS.HSF-IF.C.8B

Rewrite the equation log 0.0001 = -4 as an exponential equation.

• $10^{-4} = 0.0001$

• $10^4 = 0.0001$

• $0.0001^{-4} = 10$

• $0.0001^4 = 10$

Tags

CCSS.HSF.BF.B.5

What is the exponential form of the equation log_b x = y?

• b^y = x

• x^b = y

• y^x = b

• b^x = y

Tags

CCSS.HSF.BF.B.5

What is the base of the logarithm in the equation log 0.0001 = -4?

• 10

• 2

• 4

• 0.0001

Tags

CCSS.HSF.BF.B.5