Exponential Equations Graphs Same A

Which the following graphs shows an exponential decay equation?

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A certain type of bacteria decays at a rate of 1/4 of its size per day. A scientist starts with 80 mg of this bacteria. Write an exponential equation to show this decay.

• y = (1/4)x

• y = 1/4(80)^x

• y = (80)(1/4)(x)

• y = 80(1/4)^x

Can you convert this function table into an equation? Let's see!

X | Y

0 | 2

1 | 10

2 | 50

3 | 250

4 | 1250

• y = 2(10)^x

• y = 2(5)^x

• y = 5(2)^x

• y = 5(10)^x

Which of the following is the same as this sequence?

11, 22, 44, 88, 176......

• y = 11(2)^x

• X | Y

  0 | 11

  1 | 22

  2 | 44

  3 | 88

  4 | 176

  
  

  

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• All of the above!

Which rate of decay would decay the fastest? Hint: Try graphing them in a fake equation...like y=2(1/4)^x

• 1/4

• 4/5

If a growth of 1/4 per day would be (1.25) in the exponential equation,

Then a decay of 1/4 per day would be (__?____) in the equation.

• 0.75 or 3/4

• 0.25 or 1/4

• 1.25 or 1 1/4

Invisible Line that an equation cannot cross

• Asymptote

• Axis of Symmetry

• No Correlation

• Undefined Slope

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

ln(2) = x

• 2^x = 10

• 10² = x

• e^x = 2

• e² = x