Bellwork If you have 120 m of fencing to make three side-by-side enclosures, what is the maximum area that you can enclose? 450 sq m.

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Presentation transcript:

Bellwork If you have 120 m of fencing to make three side-by-side enclosures, what is the maximum area that you can enclose? 450 sq m

EXPONENTS AND LOGS Integral, rational and real exponents Exponential growth and decay Natural exponential functions (e) Compound Interest Logs

Integral Exponents 5.1 Define the Laws of Exponents (p. 170) Apply the Laws of Exponents

Exponent Rules (Page 170) When multiplying – add exponents When dividing – subtract exponents Power to a power – multiply exponents Negative exponent – flips upside down

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Exponential Growth and Decay If you know that the cost of attending college has been averaging a 10 percent increase every year for the last 10 years, how much would it cost to attend college today if it cost your friend $30,000 7 years ago?

Exponential Growth and Decay Formula Initial amount RateHow long?

If you know that the cost of attending college has been averaging a 10 percent increase every year for the last 10 years, how much would it cost to attend college today if it cost your friend $30,000 7 years ago? Initial amount Rate How long? $58,461.51

In a city, the value of a house is increasing at a rate of 16% annually. Find the value of a house currently worth $100,000 after 4 years. $181,063.94

In how many years will the value of the house be approximately double the current cost?

What was the approximate price 3 years ago assuming this increase had been constant?