- 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

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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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
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