Application of Exponential Function

• (2,0) and y=0

• (0,2) and y=2

• (0,2) and y=0

Tell whether this function represents growth or decay. (choose all that apply) r is rate of increase / decrease

• Growth

• Decay

• (1-r)

• (1+r)

Which does the graph represent? (choose all that apply)

• Growth

• Decay

• Increase

• Decrease

Which of the following function rules describe the data?

Tyrell decides to invest $20 in stock at Target. The stock increases 1.8% each year. Write an equation to model the situation then find how much money this stock will be worth in 6 years.

• y = 20 (1.018)^x

  
  

  $22.26

• y = 20 (0.018)^x

  
  

  $1.11

• y = 20 (0.982)^x

  
  

  $17.93

• y = 1.8 (20)^x

  
  

  $115,200,000

After it has been harvested, corn stored at a particular temperature will lose market value at a rate of 10% per day. If a corn harvest worth $68,000, write the exponential equation and find how much it is worth in 2 days.

• y = 68000 ( 10)^x

  $6,800,000

• y = 2 (10 )^x

  $200

• y = 68,000 (0.9)^x

  $55,080

• y = 68000 (1.1)^x

  $82, 280

The compact disc format has been declining in popularity, and one music executive has predicted that CD sales will decrease by 20% per year. If the executive's company started selling 3,900,000 CDs this year, how many will the company sell 4 years from now?

• y = 3, 900, 000 (0.8)^x

  $12,480, 000

• y = 3, 900, 000 (0.8)^x

  $1,597,440

• y = 3,900,000 (4)^x

  $1,597, 440

• y = 20 (4)^x

  $12, 480, 000

Monica deposited $10 in a savings account earning 5% interest, compounded annually. Write an equation then find to the nearest cent, how much interest will she earn in 3 years?

• y = 10 ( 1.05)^x

  $11.58

• y = 10 ( 5)^x

  $1, 250

• y = ( 1.05)^x

  $1.15

• y = 10 ( 3)^x

  $2, 430

There is a population of 10,000 bacteria in a colony. If the number of bacteria doubles every half hour, what will the population be 3 hours from now?

• y = 10,000 ( 2 ) ^x

  80, 000 bacteria

• y = 10,000 ( 2 ) ^x

  640, 000 bacteria

• y = 3 ( 2 ) ^x

  24 bacteria

• y = 10,000 ( .2 ) ^x

  80 bacteria