Exponential Growth and Decay Solve for Time

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

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.

• 3,000

• growth factor

• t

• Initial deposit

• 0.04

• interest rate

• (1+0.04)

• time

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

• Exponential Growth

• Linear

• Exponential Decay

• None of the Abovee

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

• 2

• growth

• 5

• -1

• decay

• Exponential Growth

• Linear

• Exponential Decay

• None of the Abovee

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%

What type of pattern do exponential functions have?

• Adds by the same number every time

• Multiplies by the same number every time

• Square roots all the inputs

• Squares all the inputs