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UA MATH 124 - Study Notes

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Math 124 Name _______________#13 PRACTICAL INTERPRETATION & ESTIMATION 2.41. Estimate (1940)P and give a practical interpretation. P represents the amount of carbon dioxide (ppm) in the atmosphere, t represents the year.2. The speed of a car in mph can be expressed in terms of the length of a skid mark in feet when brakes are applied. Estimate (20)S and give a practical interpretation if ( ) 2 5S L L.3. Suppose a filter has been designed to remove 100 grams of sediment from a storage tank. Let ( )Q t be the amount of sediment in the tank at time t. A. Estimate (3)Q if the filter removes a fixed amount of sediment each hour, say 2.3 grams. B. Estimate (3)Q if the filter removes a fixed percentage of sediment each hour, say 20 %. C. Give a practical interpretation of one of your answers above.2502702903103303503701860 1880 1900 1920 1940 1960YearCarbon Dioxide (ppm)Math 124 Name _______________4. Estimate (35)L and give a practical interpretation. L is the light output (millions of lumens) and t is the time after ignition (milliseconds) of a No. 22 lightbulb.Time after ignition0 5 10 15 20 25 30 35 40 45 50 Light output0 0.2 0.5 2.6 4.2 3.0 1.7 0.7 0.35 0.2 05. The registrar has put a counter on the RSVP registration telephone lines to count the total number of students registering during the day. A graph of ( )N t, the total number of students who have registered during the t hours since noon, is given below. A. Estimate 1(2000)N and give an interpretation. B. Estimate (2)Nand give an interpretation. C. Estimate coordinates of the inflection point. Explain the significance of this point in terms of the problem. D. Sketch a graph of ( )N t.0500100015002000250030000 2 4 6 8


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UA MATH 124 - Study Notes

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