- 1 Mina's Catering Service is organizing a formal dinner for 280 people. The hall has two kinds of tables, one that seats 4 people and one that seats 10 people. The hall can contain up to a total of 52 tables. Let x represent the number of 4-seat tables and y the number of 10-seat tables. Write and graph a system of inequalities that can be used to determine the possible combinations of tables that can be used for the event so there are enough seats for all the people. a. b. [x+y≤ 52 4x+10y ≥ 280 72+ 64- 56- 48- 40- 32- 24- 16+ 8 + 72- 64 56+ 48+ [x+y252 4x+10y≤ 280 40 32- 24- 16- 8 8- 16 24 32 40 48 56 64 72 80 x 8 16 24 32 40 48 56 64 72 80 x C. d. [x+y≤ 52 4x+10y≤280 72+ 64- 56- 48- 40- 32- 24- 16- 8- [x+y≤ 52 (4x+10y = 280 72- 64- 56+ 48-5 40+ 32- 24 8 16 24 32 40 48 56 64 72 80 x 16-5 8- 8 16 24 32 40 48 56 64 72 80 x Page LO 5 / LO

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.8: Systems Of Linear Inequalities
Problem 2OE
icon
Related questions
Question
Mina's Catering Service is organizing a formal dinner for 280 people. The hall has two kinds
of tables, one that seats 4 people and one that seats 10 people. The hall can contain up to a
total of 52 tables. Let x represent the number of 4-seat tables and y the number of 10-seat
tables. Write and graph a system of inequalities that can be used to determine the possible
combinations of tables that can be used for the event so there are enough seats for all the
people.
a.
b.
[x+y≤ 52
4x+10y ≥ 280
72+
64
56-
48-
40-
32-
24-
16-
8+
[x+y252
8 16 24 32 40 48 56 64
4x+10y≤ 280
72+
64-
56+
48+
40-
32-
24-
16+
8
80
8
16 24 32 40 48 56 64 72 80 x
C₁
d.
[x+y≤ 52
4x+10y≤280
72-
64-
56-
48+
40+
32-
24-
16-
8-
72 +
[x+y≤52
(4x+10y = 280
64+
56
48
40
32-
24-
16-
8 16
8
24 32 40 48 56 64 72 80 x
8
16 24 32 40 48 56
64 72 80 x
Page
5
/ 5
Transcribed Image Text:Mina's Catering Service is organizing a formal dinner for 280 people. The hall has two kinds of tables, one that seats 4 people and one that seats 10 people. The hall can contain up to a total of 52 tables. Let x represent the number of 4-seat tables and y the number of 10-seat tables. Write and graph a system of inequalities that can be used to determine the possible combinations of tables that can be used for the event so there are enough seats for all the people. a. b. [x+y≤ 52 4x+10y ≥ 280 72+ 64 56- 48- 40- 32- 24- 16- 8+ [x+y252 8 16 24 32 40 48 56 64 4x+10y≤ 280 72+ 64- 56+ 48+ 40- 32- 24- 16+ 8 80 8 16 24 32 40 48 56 64 72 80 x C₁ d. [x+y≤ 52 4x+10y≤280 72- 64- 56- 48+ 40+ 32- 24- 16- 8- 72 + [x+y≤52 (4x+10y = 280 64+ 56 48 40 32- 24- 16- 8 16 8 24 32 40 48 56 64 72 80 x 8 16 24 32 40 48 56 64 72 80 x Page 5 / 5
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Recommended textbooks for you
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
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
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
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning