Restaurant Receipts Cards - Highland Park ISD
Restaurant Receipts Cards - Highland Park ISD
Restaurant Receipts Cards - Highland Park ISD
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Mixing It Up (pp. 2 of 5)<br />
Algebra 2<br />
HS Mathematics<br />
Unit: 05 Lesson: 02<br />
For each situation, define variables and set up a system of equations that relates them. Then, solve<br />
the system using matrices.<br />
1) When traveling to see relatives, Duke drives part of the trip on the highway at 60 mph and the<br />
rest through cities at 40 mph. The 270-mile trip takes him a total of 5 hours. How much of this<br />
time does he spend on the highway? How much time through cities?<br />
Solutions:<br />
=<br />
System:<br />
=<br />
Matrix Equation:<br />
2) On the return trip, Duke encounters some road construction that slows him down. While he is<br />
still able to go 60 mph on the highway and 40 mph through cities, he can only go 20 mph past<br />
the construction. He spends twice the time passing the construction as he does on the highway,<br />
so this time the 270-mile trip takes 7.8 hours. How much of this time does he spend on the<br />
highway, in the city, and through road construction?<br />
Solutions:<br />
=<br />
=<br />
System:<br />
=<br />
Matrix Equation:<br />
©2010, TESCCC 08/01/10 page 25 of 40
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