Formulas, Proportion, and Variation

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Presentation transcript:

Formulas, Proportion, and Variation Chapter 4 Section 2 Formulas, Proportion, and Variation

What is the relationship between proportions and unit conversions? Essential Question What is the relationship between proportions and unit conversions?

What is a ratio? Ratio: Comparison of two quantities that have the same units Example: 20 dollars to 35 dollars A mixture of 20 mL of water and 8 mL of alcohol. What is the ratio of water to alcohol What is the ratio of alcohol to water?

What is a rate? Rate: special type of ratio Example: John drove his car for 336 miles with a full 13-gallon tank of gas. What is the rate in miles per gallon? Example: What is the unit rate in calories per gram of fat in 1 medium bag of fries at Burger King? At McDonalds?

Unit Price Comparison The Computer Warehouse is having a sales on black print cartridges. A 6-pk is selling for $96, while the 8-pk is selling for $136. What is the unit price of each choice? Which is a better buy? How does unit price come into play when you compare prices?

What is a proportion? Proportion: an equation of two ratios or rates Example: If 2-lbs of flour costs $3, then how much does it cost for 6-lbs of flour? Example: Out of the 3000 people surveyed, 1298 people watched the Bachelor last Wednesday. With this rate, how many out of the 15,000 people watched the show?

Proportion – more examples Example 3: Your car can drive 52 miles on 2 gallons of gas. Assuming the same rate, how many miles can it drive on 8 gallons of gas? Example 4: (4500 mg/560 cm^3) = (x mg/1 cm^3)