Exponential Function in Context

Which function is modeled in this table?

• f(x) = x + 7

• f(x) = 5x + 8

• f(x) = (8)^x

• f(x) = 8/5 (5)^x

A sample of 1,000 bacteria becomes infected with a virus. Each day, one-fourth of the bacteria sample dies due to the virus. A biologist studying the bacteria models the population of the bacteria with the function P(t) = 1,000(0.75)^t , where t is the time, in days.

What is the range of this function in this context?

• any real number such that t ≥ 0

• any whole number such that t ≥ 0

• any real number such that 0 ≤ P(t) ≤ 1,000

• any whole number such that 0 < P(t) ≤ 1,000

What is the equation of this table?

• y=512(1/4)^x

• y=32(4)^x

• y=32(1/4)^x

• y=512(4)^x

Write the exponential regression equation for the data.

• Y=8.16(2.7)^x

• Y=81.6(2.7)^x

• Y=8.16(.27)^x

• Y=8.16(27)^x

Which of the equations below represent this table?

• y=3⋅(36)^x

• y=36⋅(3)^x

• y=3⋅(⅓)^x

• y=36⋅(⅓)^x

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth

• Exponential Decay

• Linear

• None

Which type of regression model does the scatter plot appear to show?

• linear

• exponential

• quadratic

What type of function is y = 7(5/4)^x?

• Exponential Growth

• Exponential Decay

• Linear

• None of the above

Write the exponential regression equation for this data.

• Y = 8.16(2.7)^X

• Y = 81.6(2.7)^X

• Y = 8.16(.27)^X

• Y = 8.16(27)^X

What type of function is f(x)=2(1/7)^x ?

• Exponential Growth

• Linear

• Exponential Decay

• None of the Abovee