Direct Variation Direct Variation: y y

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Presentation transcript:

Direct Variation Direct Variation: y y A constant proportional relationship between two variables Two ways to solve direct variation: y = k*x (save for 11th or 12th grade pre-calc) Direct proportion: x = x y y We will use direct proportions this year

Direct Variation First Example: A car can travel on 420 miles on a full 20 gallon tank of gas. If there are only 7 gallons of gas in the tank, how many miles can the car travel? Miles = Miles Gallons Gallons 420 = x 20 7 Solve the Equation, x = 147

Direct Variation Example 2: The scale on the map is 5cm = 3.5 miles. How far apart are two towns that are 8cm apart on the map?