Exponential Growth and Decay in Solving Exponential Equations

• Vertically shift up 3

• Vertically shift down 3

• Horizontally shift right 3

• Horizontally shift left 3

Which equation matches this graph?

• 
• 
• 
• 

Is the pictured graph growth, decay, or linear?  

• Exponential Growth

• Exponential Decay

• Linear

• None of the above

 Halle deposited $4000 into an account that earns 5% interest each year.  The growth of her investment can be expressed by the exponential equation, A = 4000(1 + .05)^t, where A is the amount in the account after t years.  In how many years will her account exceed $10,000?

• 19 years

• 16 years

• 22 years

• 25 years

You deposit $4,000 into a savings account that gains 2% annual interest. Which exponential equation shows the account balance, b, after t years?

What is the equation that represents the exponential function in the image below?

• y=3(½)^x

• y=3(2)^x

Solve

• -1/3

• -3

• -1

• 3

The amount of bacteria is ​ (a)   at a rate of ​ (b)   each day.

• increasing

• 12%

• decreasing

• 88%

The table has an initial value of ​ (a)   and demonstrates exponential ​ (b)   at a factor of​ (c)   .

• 2

• growth

• 5

• -1

• decay

Move each part of the equation into the table next to the term that best describes what it represents. Not all parts of the equation will be used.

• (1+0.04)

• Initial deposit

• 3,000

• time

• 0.04

• growth factor

• t

• interest rate