Growth and Decay
Half-Life and Doubling Time
Comparing Exponential and Linear Functions
Exponential Functions
(IQR)
100

What is the formula used for exponential growth?

What is y=a(1+r)^t?

100

What does "half-life" mean in math?

What is the time it takes for a quantity to decrease to half its original value?

100

What is the general form of linear functions?

What is y=mx+b?

100

What does the exponent represent in an exponential functions?

What is time or the number of intervals?

100

What does (IQR) stand for?

What is interquartile range?

200

In exponential Decay, what does the base of the exponent represent?

What is the Decay factor?

200

What formula is used to calculate half-life?

What is y=a (1/2)^t/h, where h is the half-life?

200

Which grows faster in the long run: linear or exponential?

What is exponential

200

What is the base in the functions y=3(2)^x?

What is 2?

200

What does the IQR measure?

What is the spread of the middle 50% of data?

300

If a population of 500 grows by 10% annually, what will the population be after 1 year?

What is 550?

300

If substance has a half-life of 3 hours, how much remains after 6 hours?

What is one-fourth of the original amount?

300

Graphically, how can you tell the difference between exponential and linear functions

What is exponential curves upward and linear is a straight line?

300

What happens when the base of an exponential function between 0 and 1?

What is exponential Decay?

300

How do you calculate IQR?

What is Q3-Q1

400

Describe a real-world example of exponential Decay.

What is a radioactive substance losing mass over time?

400

What is doubling time?

What is the amount of time it takes for a quantity to double in size?

400

Which type of functions has a constant rate of change?

What is linear?

400

What is the y-intercept of the functions y=5(3)^x?

What is 5?

400

If Q1 if 25 and Q3 is 70, what is the IQR?

What is 45?

500

A value drops from 2000 to 1600 in one year. Is this growth or Decay? What is the rate?

What is Decay; 20%?

500

A population doubles every 4 years. What is the population after 12 years if it starts at 500?

What is 4000?

500

If a savings account earns compound interest, is it modeled by a linear or exponential functions?

What is exponential?

500

Describe the shape of an exponential growth graph.

What is a curve that gets steeper as x increases?

500

Why is IQR useful in statistics?

What is to measure variability and detect outliers?