head 1.1; access; symbols; locks; strict; comment @# @; 1.1 date 2018.03.14.17.37.38; author root; state Exp; branches; next ; desc @This document (Activity 2: Finding the Charges Graphically) is re-created by black-butterfly-cc on 30 June 2017 @ 1.1 log @Initial revision @ text @{ "_id": { "$oid": "59b662f82c47962c1d002163" }, "_type": "GSystem", "access_policy": "PUBLIC", "altnames": "Activity 2: Finding the Charges Graphically", "annotations": [], "attribute_set": [], "author_set": [], "collection_set": [], "comment_enabled": null, "content": "

Activity 2: Finding the Charges Graphically

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We can use the equations to plot graphs and predict find the charges graphically. This will enable us to find the charges very easily for different rates. 
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\r\nWe can do this by plotting a graph of the equation 

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C = 8 \u00d7 w + 30.
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\r\nFor doing this in GeoGebra we will write the equation as in the Input Bar at the bottom:\r\n

 

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y = 8 \u00d7 x + 30
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\r\nTo find the charges, we need to take points on this line. The value of x changes from 0 to 9. This is because if there are more than 9 units of 500gms., the weight will cross 5kg. and a different tariff rate will be applicable.
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\r\nThe animated gif below shows you how to do this.\r\n
\"Below_5kg_Input_Box\"
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\r\nTo find the charges, we draw an intercept with a slider. The Y coordinate of the point of intersection of this intercept with our line gives us the required charges.\r\n
\"Below_5kg_Slider_1\"
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\"Below_5kg_Charges\"
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\r\nSimilarly, for above 5 kgs, we can draw the graph for the equation:\r\n

C= (10  x w) + 102

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Which is shown in this figure.

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\"Above_5kg_graph\"

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\"Above_5kg_Slider_movement\"

\r\nMoving the slider, we can know the value of charges required for that parcel. Here again the Y coordinate of the point of intersection gives us the charges applicable.\r\n\r\n
 
\r\nThus, we see that drawing graphs is an easy way to find the charges for parcels.
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\"geogebraicon\"\"upload\"(Click here to upload)

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Try it on geogebra on your computer and upload the files here

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