Exit Ticket: Exponential growth and decay

Exit Ticket · Grade 11 · Math

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Short Answer Questions

• Q1. A population of bacteria starts at 500 and doubles every 3 hours. Write an exponential growth equation to model this situation and find the population after 9 hours.

• Q2. A car worth $24,000 depreciates at a rate of 15% per year. Write an exponential decay equation and determine its value after 4 years. Round to the nearest dollar.

Reflection

• What is one part of exponential growth or decay that still feels confusing, and what strategy could you use to better understand it before the next class?

Multiple Choice

• Q1. Which equation represents exponential decay?

  • y = 3(1.25)^x
  • y = 3(0.75)^x
  • y = 3(1)^x
  • y = 3x^2

  Answer: y = 3(0.75)^x

• Q2. A town has a population of 10,000 and grows at 8% per year. Which expression gives the population after t years?

  • 10,000(0.08)^t
  • 10,000(1.8)^t
  • 10,000(1.08)^t
  • 10,000 + 0.08t

  Answer: 10,000(1.08)^t

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