Functions Algebra I Regents

What is the growth factor of the situation represented by f(x)=10(0.3)^x?

• 10

• 0.3

• 1

• 3

Is the following function and example of decay or growth?

f(x)=2(0.85)^x

• Exponential Decay

• Exponential Growth

In an exponential function, what does the 'a' represent? 

• SLOPE

• RATE OF CHANGE

• Y-INTERCEPT

• COMMON RATIO

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

What is the initial amount.

• 5000

• 1.2

• I don't know

What is the growth rate of this model?

• 12

• 112%

• 12%

• 5000

x is (select all that are correct

• the independent variable

• the input

• time

• .955

Which of the following could be the equation for this graph?

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• 
• 
• 

Sam's parent's bought a new car in 1999 for $20,000, the car depreciated on average at 15% per year. Which of the following equations could model the car's depreciation.

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• 
• 
• 

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