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Simplify 3 x 10 4 ∙ 5 x 10 5 15 x 10 9 b) 1.5 x 10 10 c) 15 x 10 20 PowerPoint Presentation
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Simplify 3 x 10 4 ∙ 5 x 10 5 15 x 10 9 b) 1.5 x 10 10 c) 15 x 10 20 - PowerPoint PPT Presentation


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Simplify 3 x 10 4 ∙ 5 x 10 5 15 x 10 9 b) 1.5 x 10 10 c) 15 x 10 20. Real life examples of Exponential Growth. Projected. World Population 6,896,822,169 18:22 UTC (EST+5) Jan 30, 2011 . Actual. 8.5 and 8.6: Exponential Growth and Decay y = ab x.

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Presentation Transcript
slide1

Simplify

  • 3 x 104 ∙ 5 x 105
  • 15 x 109 b) 1.5 x 1010
                • c) 15 x 1020
slide3

Projected

World Population 6,896,822,16918:22 UTC (EST+5) Jan 30, 2011

Actual

slide5

8.5 and 8.6: Exponential Growth and Decayy = abx

Linear Exponential Growth Exponential Decay

slide11

Exponential Growth Exponential Decay

y = a ( 1 + r ) t

y = a ( 1 - r ) t

a = t = r =

(always change r to a ____________)

slide12

Mr. Luttrell’s first car purchased was a used 2000 Chevy Cavalier. Brand new, the car cost $14,500. The car depreciates in value by 15% per year. How much did Mr. Luttrell pay for his car in 2004?

$14,500

y = a ( 1 - r ) t

a=

r=

t=

slide13

Identify which situation represents exponential growth:

Jim earns $5 for each A on his report card.

The population of California increases at a rate of 5.6% per year.

A house’s value depreciates at a rate of 3% per year.

slide14

Identify which situation represents exponential decay:

Jim’s pay doubles every year.

Barbara tips 18% at a restaurant.

Annie’s boat’s value depreciates at a rate of 20% per year.

slide17

The value of Ed’s house depreciates (loses value) at a rate of .5% per year.

If he bought the house for $180,000 , what is the value of his house after 30 years?

a.) y = 180,000( 1 + .5)30

b.) y = 180,000( 1 - .005)30

c.) y = 180,000( 1 - .5)30

slide18

College isn’t cheap….

At Otterbein University, the current tuition is $36,300 for tuition and room and board for one year.

If the costs of tuition increases every year by 3%, what will be the cost when you start college in 5 years?

….. Start saving now!

a.) y = 36,300(1+.03)5

a)$41,734!!!!

b.) y = 36,300(1 - .03)5

c.) y = 36,300(1 + 3)5

slide22

Y = 2000 (1 + .055)5

b.) y = 18,000(1 + .055)5

c.) y = 2000(1 + 5.5)5

d.) y = 18,000(1 + 5.5)5

slide23

Exponential Growth

Exponential Decay

Linear

slide24

Y = 200 (.5)x

Exponential Growth

Exponential Decay

Linear

slide25

Y = 3x

Exponential Growth

Exponential Decay

Linear

slide26

Y = 2x + 8

Exponential Growth

Exponential Decay

Linear

slide30

George put $500 in the bank at 3% interest for 8 years. How much money did he have at the end of the 8 years if he made no deposits or withdraws?

a) $32768000

$633.39

$391.87