Applications with Exponential Growth and Decay

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x

• y=30(5000)^x

• y=5000(1.3)^x

• y=5000x^x

Your shiny new boat cost $7650.  The depreciation for your boat is 14% per year. Estimate the value of your vehicle in 3 years. What is the equation that models this problem?

• y= 7650(.14)³

• y= 7650(.86)³

• y= 7650(1+.86/1)^3*1

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

• y=8(15,000)^x

• y=15,000(1.08)^x

• y=15,000(0.92)^x

• y=15,000(0.08)^x

Is the pictured graph growth, decay, or linear or none?

• Exponential Growth

• Exponential Decay

• Linear

• None

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth

• Exponential Decay

• Linear

• None

Is the pictured graph exponential growth, exponential decay, or linear or none?

• Exponential Growth

• Exponential Decay

• Linear

• None

The population of Pallet Town increases by 15% every year. If there are currently 190,000 people living there, what will be the population in 13 years?

If necessary, round your answer to the nearest whole number.

• 4 people.

• 22,972 people.

• 1,169,030 people.

• 1,188,311 people.

Is this exponential growth or decay?

• Growth

• Decay

Does the graph represent an exponential growth or an exponential decay function?

• Exponential Growth

• Exponential Decay

Is the pictured graph growth, decay, or linear or none?  

• Growth

• Decay

• Linear

• None