Solve Exponential Growth and Decay

What is the asymptote of this function?

• y = 0

• y = 5

• y = 2

• y = 1

Tags

CCSS.HSF-IF.C.7E

Pick the equation that is exponential decay

• y = 2000(0.88)^x

• y = 0.5(1.88)^x

• y = 10(3/2)^x

• y = 0.8(13)^x

Which function will show exponential behavior?

F(x) = (4.3)^x 

or

G(x) = 4.3x + 9

• F(x)

• G(x)

• both

• neither

Every time Pinocchio lies, his nose doubles in size.  His nose is 1.5 inches long before he has told any lies.

Calculate how many inches Pinocchio’s nose will be after 4 lies.

Tags

CCSS.HSF.BF.A.2

You make a $10,000 investment that has historically doubled every 7 years.

Calculate the value of your investments after 12 years.

(Round your answer to the nearest hundredth. Include punctuation as needed.)

Sari makes an investment with the goal of having $30,000 after 40 years. If the growth factor is 1.08, how much money will she need to invest to reach her goal?

(Round to the nearest whole dollar. Add punctuation where needed.)

Charlotte has $15,000 to invest and would like this investment to grow to $28,000. If the growth factor is 1.06, how many years will it take to reach her goal? Use guess and check to find an approximate answer.

(Answer should be a whole number.)

You put $100 in a savings account that earns 1% interest every year.

Identify if it is a linear or exponential function and if it shows growth or decay and by how much.

• Exponential

  Growth

  1%/year

• Exponential

  Decay

  1%/year

• Linear

  Growth

  1%/year

• Linear

  Decay

  1%/year

You have $1500 in savings. Every year, inflation causes your money to decrease by 2% in purchasing power.

Identify if it is a linear or exponential function and if it shows growth or decay and by how much.

• Exponential

  Growth

  2%

• Exponential

  Decay

  2%

• Linear

  Growth

  2%

• Linear

  Decay

  2%

The table below represents the growth of an investment account over 3 decades. What is the growth factor of this function?

Tags

CCSS.HSF.LE.B.5