IM1: Exponential Growth/Decay A.SSE 2025

Is this exponential growth or decay?

• Growth
• Decay

Tags

CCSS.HSF-IF.C.8B

What is the initial value for the function? $f\left(x\right)=300\left(1.16\right)^x$  

•  $300$  

•  $1.16$  

•  $0.16$  

•  $x$  

The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.

• $f\left(x\right)=1400\left(1.09\right)^x$

• $f\left(x\right)=1.09\left(1400\right)^x$

• $f\left(x\right)=1400\left(0.91\right)^x$

• $f\left(x\right)=1.09^x$

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• $f\left(x\right)=15\left(35\right)^x$

• $f\left(x\right)=15\left(1.35\right)^x$

• $f\left(x\right)=15\left(0.35\right)^x$

• $f\left(x\right)=35\left(1.15\right)^x$

• $f\left(x\right)=35\left(15\right)^x$

What is $b$ , the common ratio, for the function?
 $f\left(x\right)=300\left(1.16\right)^x$  

•  $300$  

•  $1.16$  

•  $0.16$  

•  $x$  

Classify the model as Exponential GROWTH or DECAY. $f\left(x\right)=1200\left(0.85\right)^x$ 

• Growth

• Decay

Classify the model as Exponential GROWTH or DECAY. $f\left(x\right)=100\left(1.01\right)^x$ 

• Growth

• Decay

What type of function is $f\left(x\right)=7\left(\frac{5}{4}\right)^x$ ?

• Exponential Growth

• Exponential Decay

• Linear

• None of the above

Is this exponential growth or decay?

• Growth
• Decay

Tags

CCSS.HSF-IF.C.7E

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an function that represents this situation.

• $f\left(x\right)=5000\left(1-0.30\right)^x$

• $f\left(x\right)=30\left(5000\right)^x$

• $f\left(x\right)=5000\left(1+0.30\right)^x$

• $f\left(x\right)=5000\left(0.30\right)^x$