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3.4-2 – Multi-Variable Functions

3.4-2 – Multi-Variable Functions. Multi-Variable. In many instances, we may have more than one variable to depend on For example, the force of gravity between two objects will depend on the masses of both objects. Other multi-variable problems or equations Body Mass Index (BMI) =

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3.4-2 – Multi-Variable Functions

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  1. 3.4-2 – Multi-Variable Functions

  2. Multi-Variable • In many instances, we may have more than one variable to depend on • For example, the force of gravity between two objects will depend on the masses of both objects

  3. Other multi-variable problems or equations • Body Mass Index (BMI) = • Resistance (Electrical) = • Current (Electrical) =

  4. When dealing with joint/multi-variable variation, we must account for each variable/change • Make sure direct and inverse are not mixed up • Direct = change at same direction • Inverse = opposite changes

  5. Example. A record store manager observes the number of CDs sold varies inversely with the price per CD. If the store sells 840 CDs per week when the price is $15.99, how many does he expect if the price is $14.99?

  6. Example. The illumination, I, of a light source varies directly as the intensity, c, and inversely as the square of the distance, d. If a light source with an intensity of 500cp (candle-power) has an illumination of 20 fc (foot-candles) at a distance of 15 feet, what is the illumination at a distance of 20 feet?

  7. Example. The volume of a gas in a storage container varies inversely as the pressure on the gas. If the volume is 50 cubic centimeters under a pressure of 4 grams, what would be the volume of the gas be if the pressure was increased to 16 grams?

  8. Write your own proportional or inverse statement. Then, share with partners around you.

  9. Assignment • Pg. 239 • 19-47 odd

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