Answered: 1. Cullin needs to save at least P 1000…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter6: Systems Of Linear Equations And Inequalities

Section6.6: Systems Of Inequalities

Problem 44PFA

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Question

1. Cullin needs to save at least P 1000 for homecoming. He works 2 jobs, earning P100/hour as waiter and P120/hour as mower. He only has 14 hours to work before the event. Which system of inequalities below correctly models his constraints?

a. x + y ≥ 120 and x + y ≤ 100

b. 1000x + 120y ≤ 1000 and 2x + 100y ≤ 14

c. x + y ≥ 1000 and 100x + 120y ≤ 14

d. 100x + 120y ≥ 1000 and x + y ≤ 14

2. Inequality symbols used when its graph shows a solid line?

3. Jill and Jack want to improve their yards by planting lilies and roses. A pot of lily costs P 200 and a pot of rose costs P250. They should not spend more than P1500 for at least 7 plants. What is the system representing the possible number of pots of lilies (x) and roses (y) that could be sold to meet these conditions? *

a. 200x + 250y ≥ 1500 and x + y ≥ 7

b. 200x + 250y ≤ 1500 and x + y ≥ 7

c. 200x + 250y ≤ 1500 and x + y ≤ 7

d. 200x + 250y ≥ 1500 and x + y ≤ 7

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