Linear vs Exponential Scenarios

A student is saving money using two methods. Which statement is true?

• Method 1 represents a linear function, while Method 2 represents an exponential function.

• Both methods represent exponential functions.

• Method 1 represents an exponential function, while Method 2 represents a linear function.

• Both methods represent linear functions.

Think carefully

• Both scenarios are best represented by linear functions.

• Both scenarios are best represented by exponential functions.

• Scenario 1 is best represented by an exponential function, while Scenario 2 is best represented by a linear function.

• Scenario 1 is best represented by a linear function, while Scenario 2 is best represented by an exponential function.

• The population of yeast that doubles after every minute

• The height of a projectile after it is launched

• The distance covered by a car moving at a constant speed

• The cost of a printing machine that depreciates every year at 2% per year

• The number of members at the gym is best modeled a growing exponential function.

• The number of members at the gym is best modeled by a decaying exponential function.

• The number of members at the gym is best modeled an increasing linear function.

• The number of members at the gym is best modeled a decreasing linear function.

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CCSS.HSF-LE.A.1A

A homeowner hires a carpenter for a project replacing kitchen cabinets. The homeowner pays a flat cost for materials, a price per hour, and tax.

Each cabinet costs $3.25 and the function H(x)=1.075(3.25x) represents the total cost of the handles.

Is this an example of exponential growth, decay, or linear?

• Exponential Growth

• Exponential Decay

• Linear

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CCSS.HSF.LE.A.2

• the amount of radioactive material with a decay rate of 3% every day

• the cost of a laptop that depreciates at the rate of 8% every year

• the height of the water in a tank when drained at the rate of 0.3 gallon per minute

• the amount of money in a savings account with an annual interest rate of 1.5%

Is this equation linear or exponential?

• Linear

• Exponential

A(n) _________________ function will ADD the same number each time.

• Linear

• Exponential

• Neither

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CCSS.HSF.LE.A.2

CCSS.8.F.B.4

What type of function describes the story below?
You have $5 and triple your money every day. 

• Linear

• Exponential

• Neither