Comparing Exponential Equations

True OR False: All increasing exponential functions eventually exceed all increasing linear functions.

• True

• False

A tennis tournament begins with 128 players. At the end of round one, there will be 64 players. There are 32 players at the end of round 2 and 16 players remaining after round 3. This situation is best modeled by a(n) _________________ function.

• linear

• quadratic

• exponential

• none of the above

A tennis tournament begins with 128 players. At the end of round one, there will be 64 players. There are 32 players at the end of round 2 and 16 players remaining after round 3. Write the equation that best models this situation.

• y = 128x + 0.5

• y = 0.5x + 128

• y = 128(0.5)^x

• y = 128(0.5)^x-1

The value of a painting is $12,000 in 1990 and increases by 8% of its value each year.  Write and evaluate an expression to estimate the paintings value in 2005.

• 08(12,000)^t = $36,000

• 12,000(1.08)^t = $38, 066

• 12,000(0.5)^t = $10,000

• 12,000(0.92)^t = $40,000

Is the Equation Linear or Exponential?

• Linear

• Exponential

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

What type of function is f(x)=2(1/7)^x ?

• Exponential Growth

• Linear

• Exponential Decay

• None of the Abovee

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

• (.27)^x
• .27
• 13
• 3.51

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

• Linear

• Exponential

• Neither

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

• SLOPE

• RATE OF CHANGE

• INITIAL AMOUNT

• GROWTH OR DECAY FACTOR