Application using calculator and algebra

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Presentation transcript:

Application using calculator and algebra A study has found that generally the height y of women in centimeters is given by y – 3.9x = 73.5 where x is the length of the radius bone (from elbow to wrist) in centimeters. Find the missing data: Use algebra graphing calculator. x y 20cm 23cm 25cm 135cm 147cm

Solve equation for y ; express as y = ……….. y = 73.5 + 3.9x Using TI-83 or 83+ y – 3.9x = 73.5 Solve equation for y ; express as y = ……….. y = 73.5 + 3.9x 2. Enter equation into calculator …….. With a standard viewing window you see:…. ZOOM 6 Y = WINDOW GRAPH

…….choose an appropriate window. To see the graph of y = 73.5 + 3.9x …….choose an appropriate window. 1. Use algebra (e.g. sample points or intercepts), to predict graph position, or 2. Use Zoom features on calculator:…. ZoomFit option will choose a window for you, with a portion of your graph in it – use as guide. ZOOM WINDOW

Choose a more suitable window for this specific problem Choose a more suitable window for this specific problem. Negative x or y values are irrelevant for heights and lengths. For example, you might choose one of the following:…. Note: graph is same in both cases, but the viewing window is different.

Use Trace feature to approximate y when x=23cm Use arrow keys to move cursor along line – watch bottom line values under estimate for x over estimate for x Or press x key then backspace and enter exact value for x

Table features: set table and view values in a table TBL SET Choose starting value increment 2nd TABLE To view entries, use arrow keys to scroll up or down.

Found missing data…… x y 20cm 23cm 25cm 135cm 147cm 151.5cm 163.5cm 171cm Need different strategy to find x-values for given y-values using the calculator

Use Trace feature to approximate x when y=135cm Use arrow keys to move cursor along line. Watch bottom line for best estimate of required values. under estimate for y over estimate for y

More accurate method to find x when y=135cm Enter a second linear equation y = 135 Y = GRAPH Point of interest y = 135 x-value corresponding to y = 135

More accurate method to find x when y=135cm Use calculate feature to find co-ordinates of the intersection ( x , 135) y = 135 2nd CALC Choose option 5 5

Calculate feature continued….. y = 135 ENTER ENTER Move cursor close to point of interest Answer ENTER

Found missing data…… x y 20cm 151.5cm 23cm 163.5cm 25cm 171cm 135cm 147cm y = 135 ~15.8cm

Similarly for y = 147cm…… x y 20cm 151.5cm 23cm 163.5cm 25cm 171cm 135cm 147cm y = 147 ~15.8cm ~ 18.8cm