Exponential Application

Label the two graphs as either exponential and logistic.

a

b

Logistic

Exponential

What is the half-life of iodine-131?

• 32 days

• 8 days

• 16 days

• 24 days

Tags

NGSS.HS-PS1-8

What is the Half life of this isotope?

• 5 seconds

• 10 seconds

• 15 seconds

• 20 seconds

Tags

NGSS.HS-PS1-8

Which of the following best describes exponential growth in a biological context?

• A constant increase over time

• A linear increase over time

• A rapid increase that becomes more pronounced over time

• A decrease over time

• Initial population size

• Time period

• Growth rate

• Carrying capacity

Which of the following is an example of exponential decay?

• The cooling of a hot object in a room

• The growth of bacteria in a culture

• The increase in speed of a car

• The accumulation of interest in a bank account

If a scientist observes that a population of bacteria doubles every hour, which type of growth is this an example of?

• Linear growth

• Exponential growth

• Logarithmic growth

• Quadratic growth

In radioactive decay, the half-life of a substance is the time it takes for half of the substance to decay. If a substance has a half-life of 5 years, how much of a 100g sample remains after 10 years?

• 25g

• 50g

• 75g

• 12.5g

Tags

NGSS.HS-PS1-8

Which of the following equations represents exponential decay?

• Initial number of infected individuals

• Time since the start of the observation

• Rate of spread of the virus

• Total population