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4.1 Ratios and Proportions

4.1 Ratios and Proportions. 4.1. Ratio – comparison of two numbers by division (use -, to , :) Unit rate – rate with a denominator of 1 – found by dividing - always divide price by amount. Apple Juice. .045. .0375. .025. Find the unit rate of each size.

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4.1 Ratios and Proportions

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  1. 4.1 Ratios and Proportions

  2. 4.1 Ratio – comparison of two numbers by division (use -, to, :) Unit rate – rate with a denominator of 1 – found by dividing - always divide price by amount

  3. Apple Juice .045 .0375 .025 Find the unit rate of each size. Which is the better buy? The 64 oz. is the better buy.

  4. Dimensional Analysis • You will set up the initial rate as a ratio and cancel the units. • Common Conversions • There are 60 seconds in a minute, 60 minutes in an hour, and 24 hours in a day. • A mile has 5280 feet. • A foot has 12 inches. • A cheetah ran 300 ft. in 2.92 seconds. How many miles per hour is that? • 70 miles per hour

  5. Your Turn • A sloth can go .15 miles per hour. Convert to feet per minute. • 13.2 feet per minute

  6. Proportions A proportion consists of two ratios set equal to one another. a = c b d A and D are the extremes B and C are the means Cross Products: ad = bc

  7. Solve using cross products t = 15/2 x = 8.3 y = 33.6

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