Exponential Application

Which graph best represents a radioactive decay curve?

• A straight line

• An exponential curve

• A parabolic curve

• A sinusoidal curve

Tags

NGSS.HS-PS1-8

A sample of a radioactive substance decreases from 80g to 10g in 12 years. What is its half-life?

• 3 years

• 4 years

• 6 years

• 8 years

Describe how you would graph the decay curve of a radioactive substance.

• Plot time on the x-axis and remaining quantity on the y-axis, showing an exponential decrease.

• Plot time on the y-axis and remaining quantity on the x-axis, showing a linear increase.

• Plot time on the x-axis and remaining quantity on the y-axis, showing a linear decrease.

• Plot time on the y-axis and remaining quantity on the x-axis, showing an exponential increase.

Tags

NGSS.HS-PS1-8

A scientist measures the activity of a radioactive sample and finds it to be 400 counts per minute. After 3 hours, the activity is 50 counts per minute. What is the half-life of the sample?

• 1 hour

• 1.5 hours

• 2 hours

• 3 hours

Tags

NGSS.HS-PS1-8

Which of the following is NOT an example of exponential growth?

• Rabbit populations after being introduced to Australia.

• Reindeer of the Pribilof Islands after eating most of the lichens.

• A bank account that earns interest.

• Mold appearing on bread overnight.

Tags

NGSS.HS-LS2-1

NGSS.HS-LS2-2

What portion of the graph shows exponential growth?

• Generation 3-5

• Generation 10-12

• Generation 13-15

• Generation 6-7

Tags

NGSS.MS-LS2-1

Which of the following best describes an exponential growth process in a population?

• A constant increase in population size over time

• A linear increase in population size over time

• A rapid increase in population size that accelerates over time

• A decrease in population size over time

A scientist is studying a bacterial culture that doubles every 3 hours. If the initial population is 100 bacteria, how many bacteria will there be after 9 hours?

• 200

• 400

• 800

• 1600

Tags

NGSS.HS-LS2-2

Which of the following equations represents exponential decay?

In a radioactive decay process, the half-life of a substance is 5 years. If you start with 100 grams, how much will remain after 10 years?

• 25 grams

• 50 grams

• 75 grams

• 12.5 grams