Ratio and Rates Coordinate Algebra Ratio A ratio

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Ratio and Rates Coordinate Algebra

Ratio and Rates Coordinate Algebra

Ratio A ratio is a comparison of two numbers by division

Ratio A ratio is a comparison of two numbers by division

Example of a ratio 4 9 25 to 10

Example of a ratio 4 9 25 to 10

Unit Rate A unit rate is a ratio that has a denominator of 1.

Unit Rate A unit rate is a ratio that has a denominator of 1. A unit rate is also called a unit ratio (they mean the same thing). Any ratio can be converted into a unit ratio by dividing the numerator and the denominator by the denominator A = A÷B B B÷B 1

Express each ratio as a unit rate $250 for 5 concert tickets A. $

Express each ratio as a unit rate $250 for 5 concert tickets A. $ 55 per ticket C. $50 per ticket B. 250 per ticket 5 D. 2500 per ticket 50 Our Answer What do you think is the answer? ? Option B is how we calculate the answer but it’s not expressed as a unit rate (remember unit rate is a ratio that has a denominator of 1).

Now what about this…? Example On a farm, there are 6 cows for every

Now what about this…? Example On a farm, there are 6 cows for every 3 pigs. cowstotocows pigs as a unit rate? (pigs (cowsper percow) pig) What is the ratio of pigs Pigs Cows: Cows= : Pigs =36: : 63 63 == 36 ÷÷ 63==0. 5 2 36 6÷ 6 3÷ 3 11 Remember unit rate needs to have a denominator of 1

Next Example Express the ratio as a fraction in simplest form. Hint: 1 yard

Next Example Express the ratio as a fraction in simplest form. Hint: 1 yard = 3 feet 9 yards to 48 feet 9 yards 3 feet 1 yard 27 feet 9 Now simplify!! 16 To = Fraction Line Our Answer

Dimensional Analysis Dimensional analysis is simply conversion…converting one thing to another.

Dimensional Analysis Dimensional analysis is simply conversion…converting one thing to another.

Example How many seconds are in a day? Next, First, what units do weofknow?

Example How many seconds are in a day? Next, First, what units do weofknow? measure do we know or have in the answer? Seconds Day How many seconds are in a minute? How many minutes are in a hour? How many hours are in a day? 60 seconds 60 minutes 24 hours 1 minute 1 hour 1 day 86400 seconds 1 day

Now your turn! 35 miles / hour = ____ feet / second From the

Now your turn! 35 miles / hour = ____ feet / second From the problem How many feet are in a mile How many minutes are in an hour How many seconds are in a minute 35 miles 5280 feet 1 hour 1 minute 1 hour 1 mile 60 minutes 60 seconds Round your answer to the nearest tenth 184800 feet 3600 second 51. 3 feet / second

Any Questions? ?

Any Questions? ?