Simplify 3 x 10 4 ∙ 5 x 10 5 15 x 10 9 b) 1.5 x 10 10 c) 15 x 10 20

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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

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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Simplify

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

Projected

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

Actual

8.5 and 8.6: Exponential Growth and Decayy = abx

Linear Exponential Growth Exponential Decay

Exponential Growth Exponential Decay

y = a ( 1 + r ) t

y = a ( 1 - r ) t

a = t = r =

(always change r to a ____________)

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=

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.

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.

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

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

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

Exponential Growth

Exponential Decay

Linear

Y = 200 (.5)x

Exponential Growth

Exponential Decay

Linear

Y = 3x

Exponential Growth

Exponential Decay

Linear

Y = 2x + 8

Exponential Growth

Exponential Decay

Linear

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