2.6 Ratio, Proportion and Variation 1.We will compare ratios 2.We will solve problems using proportions. 3.We will solve word problems using direct variation.

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Presentation transcript:

2.6 Ratio, Proportion and Variation 1.We will compare ratios 2.We will solve problems using proportions. 3.We will solve word problems using direct variation.

Proportions We will learn to solve proportions

Solving Proportions

Solving Proportions

Applications of Proportions 1.Read the problem and represent the unknown quantity by x. 2.Set up a proportion by listing the given ratio on one side and the ratio with the unknown quantity on the other side. 1.Make sure that similar values are in numerators and similar values are in the denominators. 3.Drop units and apply the cross products principle. 4.Solve for x and answer the question. We will solve problems using proportions.

Example of aligning a proportion correctly

Example of aligning a proportion correctly Unwritten rule of local politics is that for every lawn sign you place you can count on 12 votes. How many votes can someone who places 220 lawn signs expect to receive?

Solving a Direct Variation Problem A person works for $12/hr. The person works 15 hours, how much money does he earn? We will solve direct variation problems.

Direct Variation in Geometry The two triangles above are known to be similar. Find the hypotenuse of the right triangle.

Direct Variation with Taxes Assuming the same tax rate, lets say you get your car tax bill on your old car. The town valued your car at $5500 and charged you $250. You want to buy a new car worth $22000, how much will your tax bill be?