Growth Decay Equation

Identify the percent (%) increase or decrease for the following function. f(x) = 35 (1 – 0.06)

• Increase by 6%

• Decrease by 0.06%

• Increase by 0.06%

• Decrease by 6%

• Linear

• Exponential Growth

• Exponential Decay

• Quadratic

This is an example of:

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

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

What is the initial amount for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

An antibiotic is introduced into a colony of 12,000 bacteria during a laboratory experiment. The colony is decreasing by 14.9% per minute. Which function can be used to model the number of bacteria in the colony after x minutes?

• f(x) = 12000(1 + 14.9)^x

• f(x) = 12000(1 - 14.9)^x

• f(x) = 12000(1 + 0.149)^x

• f(x) = 12000(1 - 0.149)^x

What is a, the starting term, for the function: f(x) = 800(0.85)^x?

• 800

• 0.85

• 0.15

• x

What is b, the common ratio, for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x