To Check:
That either one of the expressions 100×L2/L1→L3 or L3=100(L2/L3) when typed into the calculator causes the calculator to divide each entry of list L2 by the corresponding entry in list L1 , then multiplies the result by 100 and then stores the resulting percentages in new list L3 .
The expression 100×L2/L1→L3 causes a syntax error in the calculator.
The expression L3=100(L2/L1) when typed in the calculator appears in the form L3=100⋅L2L1 after submission and causes the calculator to divide each entry of list L2 by the corresponding entry in list L1 , then multiplies the result by 100 and then stores the resulting percentages in new list L3 .
Given:
The table:
Year | Total | Male | Female |
1965 | 102 | 98 | 4 |
1970 | 144 | 138 | 6 |
1975 | 90 | 85 | 5 |
1980 | 85 | 78 | 7 |
1985 | 94 | 84 | 10 |
1990 | 91 | 79 | 12 |
1995 | 73 | 62 | 11 |
2000 | 66 | 56 | 10 |
2005 | 69 | 58 | 11 |
2010 | 79 | 65 | 14 |
2015 | 79 | 64 | 15 |
List L1 is has entries from the column with header “Total” in the above table.
List L2 has entries from the column with header “Female” in the table above.
Concepts Used:
The list algebra techniques in the Geogebra Calculator.
Calculations:
The list L1 is {102,144,90,85,94,91,73,66,69,79,79} .
The list L2 is {4, 6, 5, 7, 10, 12, 11, 10, 11, 14, 15} .
Check the third and seventh entry from the lists as an example.
The third entry for L2 is 5 and that for L1 is 90 . The calculated value of the third entry for L3=100(L2/L1) should be:
100(L2/L1)=100(5/90)=509≈5.5556
The seventh entry for L2 is 11 and that for L1 is 73 . The calculated value of the seventh entry for L3=100(L2/L1) should be:
100(L2/L1)=100(11/73)=110073≈15.0685
Now try the expressions 100×L2/L1→L3 and L3=100(L2/L3) as input to the calculator and check if the third and seventh values match the above calculated values.
The expression 100×L2/L1→L3 causes a syntax error in the calculator.
The expression L3=100(L2/L3) gives L3 as {3.9216, 4.1667, 5.5556, 8.2353, 10.6383, 13.1868, 15.0685, 15.1515, 15.942, 17.7215, 18.9873} .
Note that the third element and the seventh element is same as calculated above.
Conclusion:
The expression 100×L2/L1→L3 causes a syntax error in the calculator.
The expression L3=100(L2/L3) when typed in the calculator appears in the form L3=100⋅L2L1 after submission and causes the calculator to divide each entry of list L2 by the corresponding entry in list L1 , then multiplies the result by 100 and then stores the resulting percentages in new list L3 .
Chapter 1 Solutions
PRECALCULUS:GRAPHICAL,...-W/ACCESS
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