Rate of Change Exponential

A scientist is growing a colony of bacteria in a lab.

The colony starts with 530 bacteria and will triple in

size every hour. What will the size be in 6 hours?

There will be ______________bacteria.

A population in one city is 480,000 and it doubles

every 6 years. What will the population be in 18 years?

There will be _________________people in 18 years.

Isabel has $5,130 in the bank and her balance

doubles each month. How much money will

she have in 1 year?

There will be $_______________________.

A population in one city is 480,000 and it doubles every 6 years. Write the function that represents this scenario.

Which statement below describes the comparison of rate of change between the linear function f(x) and the exponential function g(x).

• g(x) rate of change is ALWAYS greater than f(x) rate of change.

• g(x) is NEVER greater than f(x) rate of change.

• g(x) will eventually exceed the rate of change of f(x).

• There is not enough information to compare the rate of change of f(x) to g(x).

Which statement below describes the comparison of rate of change between the linear function f(x) and the exponential function g(x).

• g(x) rate of change is ALWAYS greater than f(x) rate of change.

• g(x) is NEVER greater than f(x) rate of change.

• g(x) will eventually exceed the rate of change of f(x).

• There is not enough information to compare the rate of change of f(x) to g(x).

• A/F
• B/G
• C/H
• D/J

The number of grams, y, of a radioactive element that remains after t hours can be modeled by the equation y=2.45(0.84)^t. What is the rate of increase or decrease of this radioactive element?

• 16% increase per hour

• 84% increase per hour

• 84% decrease per hour

• 16% decrease per hour

What type of pattern do exponential functions have?

• Adds by the same number every time

• Multiplies by the same number every time

• Square roots all the inputs

• Squares all the inputs

Is the graph linear, exponential, or neither?

• Linear

• Exponential

• Neither