Exponential Equations

Which the following graphs shows an exponential decay equation?

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• 
• 
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Tags

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Evaluate f(-4) for f(x) = 2^x

If you get a decimal answer, remember to press MATH 1 Enter to convert it to a fraction.

• 16

• 1/16

• 8

• 1/8

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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

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

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

What is the next term in the sequence?

6, 12, 24, 48, _____

• times by 2

• 384

• 192

• 96

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!

In exponential growth equations, the growth value is ALWAYS greater than the number.....

• 0

• 1

• 1/2

• 15

Growth and Decay financial values....

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

In exponential decay problems, the decay value is always....

• More than zero, but less than 1

• Less than zero

• Greater than 1

• Whatever you want it to be

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5