1-31-25 Exponential Growth and Decay

 $y=1200\ \left(1.3\right)^x$  

 $y=1200\ \left(1.3\right)^x$  

What is the initial value (zero term)?

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?

 $f(x)=6(1.35)^x$  

 $f\left(x\right)=6\ \left(1.35\right)^x$  
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?

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

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.

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?

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