1-31-25 Exponential Growth and Decay

 $y=1200\ \left(1.3\right)^x$  

• Exponential Growth

• Exponential Decay

• Linear

• Quadratic

• 3%

• 30%

• 13%

• 0.3%

 $y=1200\ \left(1.3\right)^x$  

What is the initial value (zero term)?

• 1

• 1200

• 0.3

• 30%

A piece of land was purchased for $65,000. The value of the land has slowly been decreasing by 1% annually. Which of the following functions represent this land?

• $f(t)=65,000(1.01)^t$

• $f(t)=65,000(0.99)^t$

• $f(t)=65,000\ ⋅\ 1.01$

• $f(t)=65,000\ ⋅\ .99$

 $f(x)=6(1.35)^x$  

The equation shows the change of number of fleas if no treatment was applied on Riley , an abandoned cat which was found and taken to a local animal shelter.  How many fleas were on Riley when he arrived at the shelter?

• 0

• 1

• 6

• 35

 $f\left(x\right)=6\ \left(1.35\right)^x$  
The equation shows the change of number of fleas if no treatment was applied on Riley , an abandoned cat which was found and taken to a local animal shelter. What is the rate of growth (increase) of fleas on Riley if no treatment was applied?

• 6%

• 100%

• 35%

• 3.5%

Which of the following equations represent an exponential growth of 7%?

• $y=50\ \left(1.07\right)^x$

• $y=50\ \left(1.7\right)^x$
  

• $y=50\ \left(70\right)^x$
  

• $y=50\ \left(7\right)^x$
  

You decide to sell your iPhone. You initially paid $500 for it. It has been 2 years and each year the value depreciated 35%. How much is it worth now? Round your answer to the nearest whole number.

• 211

• 241

• 391

• 430

A house appreciates in value at a rate of 5% annually. The house is valued at $130,000 today. How much will it be worth one year from now?

• 136,500

• 125,000

• 145,000

• 230,000

Which of the following situations represent an exponential decay? Select all that apply.

• y = 120,000(1.1)^x

• The value of a house appreciates at 12% a year.

• y = 120,000(.9)^x

• The value of a car depreciates at 12% a year.

• A savings account earns interest at a rate of 4% a quarter.