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Restaurant Receipts Cards - Highland Park ISD

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Mixing It Up (pp. 4 of 5)<br />

Algebra 2<br />

HS Mathematics<br />

Unit: 05 Lesson: 02<br />

Continue setting up and solving systems for these situations.<br />

5) When extreme athletes compete at a motorcycle jumping competition, judges give them scores<br />

on a scale of 0-10 in three categories: use of fundamentals, degree of difficulty, and overall<br />

style. However, these categories are not weighted equally in determining the final score.<br />

Funda- Difficulty<br />

score<br />

Final<br />

Style<br />

mentals<br />

D. Howser 7.4 8.2 8.8 8.01<br />

R. Finn 7.4 7.8 9.6 8.23<br />

J. Hoban 8.0 7.6 8.6 8.15<br />

=<br />

=<br />

The table shows how the category<br />

scores for three riders determined their<br />

final rating.<br />

By what percent is each category<br />

weighted?<br />

Solutions:<br />

System:<br />

=<br />

Matrix Equation:<br />

6) At the lake, Curtis caught three fish. He wanted to weigh<br />

the fish individually, but his scale was broken--It could only<br />

read weights between 5 and 10 pounds. So he weighed<br />

the large and medium fish together, and got 7.8 pounds.<br />

The large and small fish weighed 7.0 pounds, and the<br />

small and medium fish were 5.6 pounds.<br />

How much did each fish weigh individually? What was the total weight of all three fish?<br />

Solutions:<br />

=<br />

=<br />

System:<br />

=<br />

Matrix Equation:<br />

©2010, TESCCC 08/01/10 page 27 of 40

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