Day _____ Solve each proportion. 1. 2. 3. 4. 5. 6.
5.5-5.6 Direct and Inverse Variation I can determine if a situation is directly or inversely related. I can write an equation of a direct or inverse variation Don’t forget to write this “I Can” in your target sheet.
5.5 -5.6 Direct & Inverse Variation Direct variation- a function that can take the form , where . Constant of variation - Inverse variation - an equation that can take the form , where .
Comparing Direct and Inverse Variation y=kx Y varies directly with x. Y varies inversely with x.
Is each situation an example of direct or inverse variation? 1. You go to the store and find that books are all $5 each. You think of buying more than 3. Direct variation 2. The total cost of throwing a party will stay the same regardless of how many people will show up to split the cost for the individual person. Inverse variation
Suppose y varies inversely with x and y=9 when x=2. Write an equation for the inverse variation.
The volume V of a liquid varies inversely with pressure P. When the volume is 75 inches cubed, the pressure is 30 pounds per square inch? What is the volume when the pressure is 25 pounds per square inch? Inverse variation
The weight of a person on Earth, E, varies directly as the weight of a person on the moon, M. A professional athlete weighs 220 pounds on earth, and 20 pounds on the moon. How much will an LWN athlete weigh on the moon if he weights 120 pounds on Earth? Direct variation