Linear Applications.

Presentation on theme: "Linear Applications."— Presentation transcript:

Linear Applications

Your school just had their first school play for the year.  Student tickets were \$5 and adult tickets were \$8.  The drama club sold a total of 175 tickets and made \$1250. How many of each ticket were sold?

Adult Tickets: 125 Student Tickets: 50

A test has twenty questions worth 100 points
A test has twenty questions worth 100 points.  The test consists of true/false questions worth 3 points each and multiple choice questions worth 11 points each.  How many true/false and multiple choice questions are on the test?

True/False Questions: 15
Multiple Choice Questions: 5

The equations 5x + 2y = 48 and 3x + 2y = 32 represent the money collected from school concert tickets sales during two class periods.  If x represents the cost for each adult ticket and y represents the cost for each student ticket, what is the cost for a adult and student ticket?

Adult Tickets Cost \$8 Student Tickets Cost \$4

A plane flies 1200 mi. from Orlando to New York in 2 hr
A plane flies 1200 mi. from Orlando to New York in 2 hr. with a tailwind. The return flight against the same wind takes 2.5 hr. Find the speed of the plane in still air and the speed of the wind.

Plane Speed is 540 m.p.h Wind Speed is 60 m.p.h Time Rate Distance
Tailwind 2 (X+Y) 1200 Headwind 2.5 (X-Y) Plane Speed is 540 m.p.h Wind Speed is 60 m.p.h