Graph:
y  x–1
Graph:
5x + 3y < 15
Graph:
A clothing store manager wants to restock
the men’s department with two new types
of shirt. A type x shirt costs $20. A type y
shirt costs $30. The store manager needs to
stock at least $300 worth of shirts to be
competitive with other stores.
Graph:
 y  x  2

 y  4 x  1
Graph:
y  1

2 x  y  3
Graph:
 x  y  3

3x  y  1
Graph:
x  1

y  x 1
y  8

Graph:
y  x  6

x  y  6
x  4

Write the equations:
A calculator company produces a scientific
calculator and a graphing calculator. Longterm projections indicate an expected demand
of at least 100 scientific and 80 graphing
calculators each day. Because of limitations
on production capacity, no more than 200
scientific and 170 graphing calculators can be
made daily. To satisfy a shipping contract, a
total of at least 200 calculators must be
shipped each day. If each scientific calculator
sold results in a $2 loss, but each graphing
calculator produces $5 profit, how many of
each type should be made daily to maximize
net profits?
Write the equations:
The Drama club is selling tickets to its
play. An adult ticket costs $15 and a
student ticket costs $11. The auditorium
will seat 300 ticket-holders. The drama
club wants to collect at least $3630 from
ticket sales.
Write the equations:
A painter has exactly 32 units of yellow
dye and 54 units of green dye. He plans to
mix as many gallons as possible of color x
and color y. Each gallon of color x
requires 4 units of yellow dye and 1 unit of
green dye. Each gallon of color y requires
1 unit of yellow dye and 6 units of green
dye.
x  y  2

 x  y  3