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Rates, Ratios and Proportions

Rates, Ratios and Proportions. A ratio is a comparison of two quantities. A ratio of one number to another number is the quotient of the first number divided by the second number. (Where the second number is not zero.). A ratio can be written in a variety of ways:.

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Rates, Ratios and Proportions

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  1. Rates, Ratios and Proportions

  2. A ratio is a comparison of two quantities. A ratio of one number to another number is the quotient of the first number divided by the second number.(Where the second number is not zero.)

  3. A ratio can be written in a variety of ways: The ratio of triangles to rectangles can be described: Using the word “to” 3 to 4 Using a colon 3 : 4 3 As a fraction 4 Or in any form equivalent to that fraction 75%, 6 8

  4. A rate is a ratio that compares two different kinds of numbers. Miles per hour or feet per second are both rates of speed. Number of heartbeats per minute is called "heart rate." If you ask a babysitter, "What is your rate?", you are asking how many dollars per hour you will be charged. Unit price is a particular rate that compares a price to some unit of measure.

  5. The little word "per" is always a clue that you are dealing with a rate. 55 mph $1.20 per pound twenty cents per copy The word "per" can be replaced by the “ / " in problems, so 6 cents per egg can also be written 6 cents / egg.

  6. Suppose a car is traveling 50 mph. Complete the following table to determine the distance traveled at the given intervals. 300 100 150 200 250

  7. PROPORTION is when you have two ratios (or rates) set to be equal to each other. Of course, for it to be a problem, one of those four numbers is not given and ends up being the famous x.

  8. Solve the proportion. What was the numerator, 2, multiplied by to getthe numerator 8? 4 • We must also multiply the denominator, 5, by the same number to determine the value of x.

  9. Solve the proportion. Cross Multiply 2x = 162 Divide by 2 2 2 x = 81

  10. You are on a riverboat trip. You travel 8 miles in 4 hours. At that same rate, how many hours will it take you to 72 miles?

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