Exponential Equation from Context

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 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

The number of bacteria in a culture doubles every 30 minutes. What type of function best represents the growth of the bacteria population over time?

• Linear

• Quadratic

• Exponential

The population of a city increases by 5% each year. What type of function best represents the growth of the city's population over time?

• Linear

• Quadratic

• Exponential

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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

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• 2

• 3

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The value of a car depreciates by 10% each year. What type of function best represents the decrease in the car's value over time?

• Linear

• Quadratic

• Exponential

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