Calculating the Rational Function y = 1/x using Desmos
Added on -2019-09-22
The data is shown in the table below: Time (in minutes) Speed (in miles/hour) 5 60 6 50 7 42.85714 8 37.5 9 33.33333 10 30 11 27.27273 12 25 13 23.07692 14 21.42857 15 20 16 18.75 17 17.64706 18 16.66667 19 15.78947 20 15 The scatterplot corresponding to this data is obtained in Microsoft Excel using Megastat which is shown below: (a
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AssignmentThe graph on the rational function y = 1/x using Desmos is shown below:The rational function y = 1/x follows inverse variation so we have to think of a real life problem that involves this kind of variation.One real life problem involving the use of inverse variation is the speed required to travel from one place to another in a given amount of time.Let’s say a student need to drive a bicycle from his home to college, which is about 5 miles. Now he has to calculate the speed of his bicycle at which he should drive in order to get college on time given the amount of time he has on a particular day. This data will be the basis of our work to show the real life problem involving inverse variation.The data will be analyzed in Microsoft Excel to graph a scatterplot. The data is shown in the table below:
Time (in minutes)Speed (in miles/hour)560650742.85714837.5933.3333310301127.2727312251323.076921421.4285715201618.751717.647061816.666671915.789472015The scatterplot corresponding to this data is obtained in Microsoft Excel using Megastat which is shown below:46810121416182022010203040506070Real Life problem ScatterplotTime (in mins)Speed(inmiles/hour)
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