Exponential Decay Quiz

Write a brief explanation of what exponential decay is.

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

Identify the standard formula for exponential decay and describe each component of the formula: y=a(b)^t. Fill in the blanks: - y is ________ - a is ________ - b is ________ - t is ________

Tags

CCSS.HSF.LE.B.5

A radioactive substance decreases in weight by 5% each year. If you start with 100 grams, how much will remain after 5 years?

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

If a car depreciates in value by 15% annually and is initially worth $20,000, what will its value be after 10 years?

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

A small town has a population of 12,000 people. Due to various factors, the population decreases by 3% each year. Calculate the population after 1 year, 5 years, and 10 years.

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

A chemical in a lab sample decreases at a rate of 12% per hour. If the initial concentration of the chemical is 50 grams per liter, how much will be left after 3 hours?

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

Explain how the concept of exponential decay might apply to the spread of information in social media. Assume the initial spread is very rapid but slows down over time.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.A.3

CCSS.HSF.LE.B.5

Graph the decay of a $40,000 car at a depreciation rate of 10% per year over 10 years. Use any graphing tool available and include the graph with your work.

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.BF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

What did you find most challenging about this assignment, and what concept would you like to explore further?