A college student works in both the school cafeteria and library. She works no more than 11 hours per week at the cafeteria, and no more than 16 hours per week at the library. She must work at least 20 hours each week. Write a system of inequalities that describes all the given conditions. Write a system of inequalities letting x = number of hours worked at the cafeteria per week and y = number of hours worked at the library per week. x+y². XS $0, ys Use the graphing tool on the right to graph the feasible region for the system of inequalities. Click to enlarge graph

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section: Chapter Questions
Problem 8SGR
icon
Related questions
Question
100%
A college student works in both the school cafeteria and library. She works
no more than 11 hours per week at the cafeteria, and no more than 16
hours per week at the library. She must work at least 20 hours each week.
Write a system of inequalities that describes all the given conditions.
Write a system of inequalities letting x = number of hours worked at the
cafeteria per week and y = number of hours worked at the library per week.
x+yz. X≤
Use the graphing tool on the right to graph the feasible region for the
system of inequalities.
Click to
enlarge
graph
y≤
C
-20
15
·5
20
15-
10
5-
10
15-
20
y
156
10
15
X
120
x^
o
Transcribed Image Text:A college student works in both the school cafeteria and library. She works no more than 11 hours per week at the cafeteria, and no more than 16 hours per week at the library. She must work at least 20 hours each week. Write a system of inequalities that describes all the given conditions. Write a system of inequalities letting x = number of hours worked at the cafeteria per week and y = number of hours worked at the library per week. x+yz. X≤ Use the graphing tool on the right to graph the feasible region for the system of inequalities. Click to enlarge graph y≤ C -20 15 ·5 20 15- 10 5- 10 15- 20 y 156 10 15 X 120 x^ o
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL