Identify Growth or Decay Models

Linear, exponential, or neither?

• Linear

• Exponential

• Neither

• All of the above

y = 4 + 2x

• Linear

• Exponential

• Neither

• All of the above

Write an equations that models the data shown.

Suppose the population of a species of insects doubles every year. There are 1600 insects initially. The function for the scenario would be?

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

• y=5000(0.7)^x

• y=30(5000)^x

• y=5000(1.3)^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

Identify each function as representing exponential growth or decay.
f(x) = 5(1.06)^x

• growth

• decay

Identify each function as representing exponential growth or decay.
f(x) = 4(0.89)^x

• growth

• decay

Is this exponential growth or decay?

• Growth

• Decay

Which is an exponential function?

• y = mx + b

• y - y₁ = m(x - x₁)

• y = ab^x