Exponential Growth and Decay

Which equation matches the graph?

• y=2(2)^x

• y=2(½)^x

• y=2^x

• y=½(2)^x

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 number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

• 9766

• 9006

• 9765

• 5433

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

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

• Exponential Growth

• Linear

• Exponential Decay

• None of the Abovee

What is the growth factor of the situation represented by f(x)=10(0.3)^x?

• 10

• 0.3

• 1

• 3

• Exponential Growth

• Linear

• Exponential Decay

• None of the Abovee

What is the starting term for the function: f(x) = 800(0.85)^x? (starting means initial or when x=0)

• 800

• 0.85

• 0.15

• x

Which color functions is exponential?

• Blue

• Green

• Red

• Yellow

Hannah invested $4000.  How much money will she have in 15 years if the interest rate of 6% is being compounded continuously? 

• 9586.23

• 32412.71

• 9043.61

• 32412.72