Day 14 Homework
(1-5) Graph the linear systems of inequalities.
1.
x  y 7
2x  y  8
y  1
3. x  2
x  2y  4
2.
y  x  2
y  3x  6
x  10
3x  2 y  9
4.
x  2y  6
x  y 5
Write the equation of the system of linear inequalities:
5.
6.
7. You receive a $40 gift card to a movie theatre. A ticket to a matinee costs $5 and a ticket to an evening
movie costs $8. Write and graph a system of linear equations for the number of tickets you can purchase
using the gift card.
8. You work at an Italian ice shop during the summer. You need to order 5-ounce and 8-ounce cups. The
storage room will only hold 10 more boxes of cups. A box of 5 ounce cups costs $15 and a box of 8-ounce
cups cost $18. A maximum of $90 is budgeted for cups.
a. Let x represent the number of boxes of 5 ounce cups and let y represent the number of boxes of 8
ounce cups. Write a system of linear inequalities for the number of cups that can be bought.
b. Graph the system of inequalities.
c. Identify two possible combinations of cups you can buy.