Exponential Function from Context

A population of bacteria doubles every hour. Which type of function best represents the growth of the bacteria population over time?

• Linear

• Quadratic

• Exponential

A bank account earns interest at a rate of 3% per year, compounded annually. What type of function represents the growth of the account balance over time?

• Linear

• Quadratic

• Exponential

The height of a tree grows by 10% each year. What type of function best represents the growth of the tree's height over time?

• Linear

• Quadratic

• Exponential

The number of bacteria in a culture triples every 24 hours. What type of function best represents the growth of the bacteria population over time?

• Linear

• Quadratic

• Exponential

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A sample of a substance with an initial mass of 963 grams is decaying at a rate of 27% per hour.

Create a function that can be used to find y, the mass of the substance in grams remaining after x hours.

Enter your answer in the space provided.

Mathematical Equivalence

ON

Tags

A1.5.9.C

A sample of a substance with an initial mass of 963 grams is decaying at a rate of 27% per hour.

Create a function that can be used to find y, the mass of the substance in grams remaining after x hours.

Record your answer in the space provided.

Mathematical Equivalence

ON

Tags

A1.5.9.C

A sample of a substance with an initial mass of 500 grams is decaying at a rate of 32% per hour. 

 

Create a function that can be used to find y, the mass of the substance in grams remaining after x hours.

 

Enter your answer in the space provided.

Mathematical Equivalence

ON

What is the equation of the graph shown, and what is the y-intercept?

• y = 1⁄3 (3)^x ; a = 1⁄3

• y = 1⁄3 (3)^x ; a = 3

• y = 3 (1/3)^x ; a = 1⁄3

• y = 3 (1/3)^x ; a = 3

Create the exponential function with the following attributes:

Asymptote: y = 0

Initial value: 3

Point on the graph: (2, 6)

Growth