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Sports. Rate A ratio used to compare different kinds of measurements. Ratio’s are frequently seen in things such as insurance rates, housing, clothing,

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Presentation on theme: "Sports. Rate A ratio used to compare different kinds of measurements. Ratio’s are frequently seen in things such as insurance rates, housing, clothing,"— Presentation transcript:

1 Sports

2 Rate A ratio used to compare different kinds of measurements. Ratio’s are frequently seen in things such as insurance rates, housing, clothing, sales and sports. Rate is …. Sometimes it is anyways. Different kinds of rates are… The change in Y The change in X

3 Point to Point Analysis Point to point analysis is when you find the consecutive changes between numbers. Their first game, the Dallas Cowboys play the Chicago bears and win 42-0. (We hope there are no Bears fans in here) And then they play their second game against the Steelers and they win 52-24. The Point to Point Analysis is 10 1 GamesScore 1 2 42 52

4 Input Output If you find consecutive changes, you are able to determine what kind of graph it is. i.e.= if it is increasing at a constant rate, increasing at a fluctuating rate, decreasing at a constant, decreasing at a decreasing rate. Positive slope, Negative slope increasing at a decreasing at a constant rate

5 Example: Increasing or Decreasing at Increasing or Decreasing rates Input (also known as X, independent, domain) in this scenario is the games played by a team. Output (range, Y, dependent) is the team scores in the following scenarios. Games the Cardinals Played Score 124 232 342 Increasing at an increasing rate Games the Steelers played Score 112 224 335 Increasing at a decreasing rate

6 Average Rate of Change Average rate of change is… Well, the average rate of change. Specifically, it is the change in the value of a quantity divided by the elapsed time (or whatever Y is) The steps to finding it go something like this. First, find the point to point rates on a graph. Then subtract the first number from the last and divide.

7 Graph Sketch This one really doesn’t have an adequate way of defining, so examples work just great for this one. In the Olympics, a track runner runs the 400 in 46 seconds. He speeds up, speeds up some more and then sprints. Speed of the Runner Speed Time

8 Independent and Dependent variables An independent variable is a variable that can stand alone and not be affected by the Y variable. Time is often considered an X variable. Dependent variables are affected by X and cannot stand alone. EXAMPLE!!!!! How many tickets to the Suns game are sold depends on the price. Independent: Price. Dependent: How many tickets are sold.

9 Unit Rate Unit rate is a rate in which the denominator can be described with one. Common examples of a unit rate… 11 soccer players one field 2 cars One track

10 Percent Change Is a way to express change in a variable. To find the percent change, it is best to first find the difference between variables, then divide the difference by the original amount. So if the baseball team has 300 bats and then 123 of them are broken in games or practice, what is the percent change? 300-123=177 177/300=.59 59% change

11 Domain and Range Domain (also known as X) is the X set of values in an equation. So if there are 4 badminton games and the scores are 15, 14, 5 and 27 Domain would be 1, 2, 3 and 4 because that’s the number of games. Range is otherwise known as Y and that would be the scores they received. 5, 14, 15 and 27. So all in all, set into an equation it would look something like this. D{1,2,3,4} R {5, 14, 15, 27}

12 And the icing on the top of the cake of Domain and Range is, Practical and Actual Domain and Range Actual domain and range is what is directly indicated on the graph or table. Practical is what is reasonable for the given situation Practical: 0<y< 25 0<x<infinity Actual: D{1.2.3.4} R{3,10,18,22} 25 20 15 10 5 1 2 3 4


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