GHS Algebra I - Topic 6 Lesson 3 Exponential Growth/Decay

What kinds of situations can be modeled with exponential growth or exponential decay functions? Check all that apply.

• Loan interest, appreciation and depreciation of assets and investments

• Growth or decline of populations of living things

• Spread of organic and computer viruses, pandemics, epidemics

• Radioactive half-life calculations

• Distance as a function of rate times time

What is the basic form of an exponential function?

• $y=mx+b$

• $f\left(x\right)=a\left(x-h\right)^2+k$

• $E=mc^2$

• $f\left(x\right)=a\cdot b^x$

• $y-y_1=m\left(x-x_1\right)$

What is the basic form of an exponential growth function?

• $y=mx+b$

• $f\left(x\right)=a\left(x-h\right)^2+k$

•  $End\ Value=Initial\ Value\cdot\left(1-Decay\ Rate\right)^{Time}$ 

•  $End\ Value=Initial\ Value\ \cdot\left(1+Growth\ Rate\right)^{Time}$ 

•  $A=P\left(1+\frac{r}{n}\right)^{n\ \cdot\ t}$ 

What is the basic form of an exponential decay function?

• $y=mx+b$

• $f\left(x\right)=a\left(x-h\right)^2+k$

•  $End\ Value=Initial\ Value\cdot\left(1-Decay\ Rate\right)^{Time}$ 

•  $End\ Value=Initial\ Value\ \cdot\left(1+Growth\ Rate\right)^{Time}$ 

•  $A=P\left(1+\frac{r}{n}\right)^{n\ \cdot\ t}$ 

What is the basic form of a compound interest function?

• $y=mx+b$

• $f\left(x\right)=a\left(x-h\right)^2+k$

•  $End\ Value=Initial\ Value\cdot\left(1-Decay\ Rate\right)^{Time}$ 

•  $End\ Value=Initial\ Value\ \cdot\left(1+Growth\ Rate\right)^{Time}$ 

•  $A=P\left(1+\frac{r}{n}\right)^{n\ \cdot\ t}$ 

The population of Hillville is 5,000 people. It grows at an annual rate of 15%. What will the estimated population of Hillville be in five years?

• 5,750 people

• 3,750 people

• 8,750 people

• 5,380 people

• 10,057 people

Kim’s family invested in a Certificate of Deposit (CD) for her when she was born. The initial value is $3,000, the annual interest rate is 8%, and the interest is compounded quarterly. What is the value of the CD at the end of five years?

• $3,000.98

• $4,200.00

• $3,240.00

• $4,407.98

• $4,457.84

Your family invested in a mutual fund for you when you were born. The initial value is $3,000, the annual rate of return is 14%, and the rate is compounded monthly. What is the value of the investment at the end of 18 years?

• $7,560.00

• $3,420.00

• $10,560.00

• $31,725.51

• $36,745.86

A video is labeled a fan favorite if it receives at least 1,000 views per day. Amelia posts a video that gets 8,192 views on the first day. The number of views decreases by 25% each day after that. In how many days total will the video stop being a fan favorite?

• 4 days

• 5 days

• 8 days

• 12 days

• It will never drop below 1,000 views per day.

The population of pikas is 144. It decreases at a rate of 8% per year. Compare the average rate of change between 1 and 5 years to the average rate of change between 6 and 10 years. Check all that apply.

• From Year 1 to Year 5, the average rate of change is -9.25.

• The rate of change in both intervals is the same.

• From Year 1 to Year 5, the average rate of change is -11.52.

• From Year 6 to Year 10, the average rate of change is -11.52.

• From Year 6 to Year 10, the average rate of change is -6.