Exponential Decay

Exponential Growth & Decay

Don't forget to change your percent to a decimal by DIVIDING BY 100!

Change % to a decimal!

Labeling

Label the parts of the Exponential Growth Formula.

Drag labels to their correct position on the image

Final Amount

Initial Amount

Growth Rate

Time

Multiple Choice

Which graph represents exponential decay?

Multiple Choice

Make the percent to decimal.
7.25%

• 7.25
• 72.5
• 0.725
• 0.0725

Multiple Choice

Change 6.75% to a decimal.

• 67.5
• .675
• 675
• .0675

Poll

Would you rather ...

• ... be able to fly?

• ... be invisible?

Multiple Select

Which of the following words show decay? SELECT ALL THAT APPLY.

• Increase

• Decrease

• Grows

• Decays

• Depreciates

Multiple Choice

Solve: 

• A
• B
• C
• D

Multiple Choice

What does the a in y=a(1+r)^x  represent?

• Time
• Rate
• Slope
• Initial Amount

Multiple Choice

Gasoline costs $1.99 per gallon. If the price per gallon increases an average of 6% per month, which function models the exponential growth of the pricing?

• 1.06(1.99)^t

• 1.99(1.06)^t

• [1.06(1.99)]^t

• 1.99(.94)^t

Multiple Choice

Hank Aaron owns a rare baseball card. He bought the card for $9.50 in 1987 and its value increases by 7% each year. Write and use an exponential growth or decay function to find the baseball card's value in 2021.

• 9.99

• 94.79

• 947.92

• 17.44

Multiple Choice

Ms. Barnes started working at her second job earning $10.14 per hour. Every 6 months, she gets a 2.75% raise. If Ms. Barnes has worked at her second job for 12 years, what is her hourly rate?

• $19.44

• $1.38

• $1.92

• $194.45

Multiple Choice

Matt bought a new Porsche 911 Cabriolet for $183,600 in 2021. Every year, the value of the car depreciates by 6.94%. Write and use an exponential growth or decay function to find the value of his car at the end of his 60-month loan.

• $1,281,409,436

• $128,141

• $256,787

• $2,453

Word Cloud

Type ONE WORD that describes you.

Drag and Drop

In March, 2020, before the Covid-19 lockdown, 1,200,000 Texans had applied for unemployment. During the COVID-19 lockdown, the number of people applying for unemployment increased by 4% each month. What exponential function can be used to find the number of people applying for unemployment after x months of COVID-19 lockdown?​

Placeholder

Drag these tiles and drop them in the correct blank above

Multiple Choice

Which of the following exponential functions represents an initial value of 1450 and a decay of 18% for x years?

• $$y=1450\left(0.18\right)^x$$

• $$y=1450\left(1.18\right)^x$$

• $$y\ =\ 1450\ -\left(0.18\right)^x$$

• $$y=1450\left(0.82\right)^x$$

Multiple Select

Select all the equations that represent exponential decay.

• $$y=\frac{1}{2}\left(4\right)^x$$

• $$y=4\left(\frac{1}{2}\right)^x$$

• $$y=80\left(1.4\right)^x$$

• $$y=60\left(0.7\right)^x$$

• $$y=3\left(0.6\right)^x$$