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.)

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

If y = a(B)^x is a growth then...

• the base is greater than 1

• the base is less than 1

• the initial value is greater than 1

• the initial value is less than 1

This is an example of:

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

Does this graph represent exponential growth or decay?

• Growth 

• Decay

• cannot be determined

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

Which of the following is an example of exponential decay?

• The amount of a radioactive substance decreases by half every 1000 years.

• The population of a city increases by 5% each year.

• The height of a plant grows by 2 cm every week.

• The price of a stock increases by $100 every month.

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth

• Exponential Decay

• Linear

• None