Math 015 Section 7.4 Proportions. Obj: To determine whether a proportion is true A proportion is a statement of equality between two ratios or between.

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Presentation transcript:

Math 015 Section 7.4 Proportions

Obj: To determine whether a proportion is true A proportion is a statement of equality between two ratios or between two rates. 50 miles 25 miles 4 gallons 2 gallons = Notice that the units in the numerators of these rates are the same and the units in the denominators are the same =

Obj: To determine whether a proportion is true A proportion is true if the fractions are equal when written in simplest terms.  A proportion is true if the cross products are equal = 3  8 = 24 2  12 = 24 The proportion is true = 5  8 = 40 4  9 = 36 The proportion is not true.

State whether the following are true proportions. 62 miles 33 miles 4 gallons 2 gallons = = The proportion is not true The proportion is true = 90 =

Obj: To solve a proportion Use the cross product rule to rewrite the equation Solve the new equation Check your answer Example: Solve n = 60 n = 300 n = 5

Obj: To solve a proportion Use the cross product rule to rewrite the equation Solve the new equation Check your answer Example: Solve 9 n 7 21 = 7n 189 = n = 27

Obj: To solve a proportion Example: Solve n = 2n = 1 n = 1/2 2n + 4 = 5

Obj: To solve a proportion Solve: x x 3 = 3x + 15= 2x x + 15 = 0 x = -15

Obj: To solve a proportion Example: Solve n = 9n 70 = n =

Obj: To solve a proportion Example: Solve Round to the nearest 7 nhundredth = 1.9n 91 = n = n = 47.89

Obj: To solve application problems Three tablespoons of a liquid fertilizer are to be added to every 4 gallons of water. How many tablespoons of fertilizer are required for 10 gallons of water? 3 tablespoons n tablespoons 4 gallons 10 gallons = 4n 30 = n = 7.5 Answer: 7.5 tablespoons should be added to 10 gallons

Obj: To solve application problems When engineers designed a new car, they first built a model of the car. The ratio of the size of a part on the model to the actual size of the part is 2:5. If a door is 1.3 feet long on the model, what is the length of the door on the car? n = 2n 6.5 = n = 3.25 Answer: The door on the real car will be 3.25 feet long Model 2 Real 5 =