inverse variation.notebook
October 23, 2015
What do we know about direct variation?
1.)
Constant of Variation or Constant of Proportionality
(as a function: )
2.) y varies directly to x.
3.) Passes thru origin.
4.) Constant rate of change.
5.) Ratios of the ordered pairs form equal proportions.
Direct Variation
Example:
If y varies directly as x and y = 10 as x = 2.4, find x when y = 15. We can use proportions to solve this type of variation problem.
If y varies directly with x, and y = 12 when x = 2, find y when x = 8.
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inverse variation.notebook
October 23, 2015
Inverse Variation
1.) Constant of Variation or Constant of Proportionality
(as a function: )
2.) y varies inversely to x
3.) graphs as curve
4.) no constant rate of change
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inverse variation.notebook
October 23, 2015
Inverse Variation
If y varies inversely as x, and y is 200 when x is 4, find y when x = 10.
The number of hours, h, it takes for a block of ice to melt varies inversely as the temperature, t. If it takes 2 hours for a square inch of ice to melt to 65 degrees, find the constant of proportionality.
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