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Section 3.5: Equation Solving and Modeling - PowerPoint PPT Presentation


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Section 3.5: Equation Solving and Modeling. March 5, 2014. Solving Algebraically. Solve for x. More Solving. Solve for x. Round to the nearest hundredth. Solving Graph ically. Solve for x. Write answers as fractions or integers. More Solving.

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Presentation Transcript
slide3

More Solving

Solve for x. Round to the nearest hundredth.

slide4

Solving Graphically

Solve for x. Write answers as fractions or integers.

slide5

More Solving

Solve for x. Round to the nearest hundredth.

slide7

Regression

Using the charts below, determine whether each set of data is best represented by a linear, logarithmic, exponential or power regression equation. Support your answer with a sketch and mathematical data.

slide8

Order of Magnitude

  • Order of magnitude: the common logarithm of a positive quantity
  • A kilometer is _______ orders of magnitude longer than a meter.
  • A dollar is _______ orders of magnitude greater than a penny.
  • A horse weighing 400 kg. is ______ orders of magnitude heavier than a mouse weighing 40 g.
  • NYC with 7 million people is ______ orders of magnitude bigger than Earmuff Junction with a population of 7.
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Newton’s Law

Newton’s Law of Cooling:

…where t =

Tm =

T0 =

k =

Example: A cake is removed from an oven at 350° and cools to 120° F after 20 minutes in a room at 65°F. How long will the cake take to cool to 90°F?

slide10

More Applications

How many times more severe was the 1995 Kobe, Japan earthquake (R = 7.2) than the 1994 Los Angeles earthquake (R = 6.6)?