Exponential Growth and Decay Factors

Pick the equation that is exponential decay

• y=2000(0.88)

• y=0.5(1.88)

• y=-4x

• y= -7+10x

Pick the equation that is exponential growth

• y=2(0.5)^x

• y = 0.5(2)^x

• y = .5x - 2

• y = 2x + .5 

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

The population of Boringtown decreased annually by 1.8% between the year 2015-2018. In 2015, there were approximately 200,000 people living in Boringtown. Which function models the city's population since 2015?

• f(x) = 200,000(1 + 0.018)³

• f(x) = 200,000(1 - 0.018)³

• f(x) = 200,000(1 - 0.18)³

• f(x) = 200,000(1 + 0.18)³

What type of function does the equation f(x) = 200(0.79)^x represent?

• Exponential Growth

• Exponential Decay

• Linear

• Quadratic

Your shiny new boat cost $7650. The depreciation for your boat is 14% per year. You want to know the value of your boat in 3 years. What is the equation that models this problem?

• y = 7650(1 + 0.14)³

• y = 7650(1 - 0.14)³

• y = 7650e^(0.14)(3)

• y = 7650 (1 + 0.14/12)^(12)(3)

Is the following a growth rate or a decay rate?

• Growth Rate

• Decay Rate

• Not enough information

Is the following a growth rate or a decay rate?

• Growth Rate

• Decay Rate

• Not enough information

Is the following a growth factor or a decay factor?

• Growth Factor

• Decay Factor

• Not enough information

Is the following a growth factor or a decay factor?

• Growth Factor

• Decay Factor

• Not enough information