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*PLZ HELP* This goes for all questions...>...Given the following word problems, write an inequality that models the problem, then solve and check.


1. Troy wants to make at least $300 for the day. He earns $20 per hour plus $100 extra if he makes a sale. Assuming Troy makes a sale, how many hours does he need to work?


2. Jessica is planting a garden and she wants to make sure the perimeter of the garden box is no more than 30 feet. The garden box is rectangular and has a length of 8 feet. How many inches can the width be?


3. Rene wants a job that where she can work 8 hours a day plus a $20 bonus per day. She also wants to make at least $80 per day. How much money does she need to earn per hour?


4. There are more than 18 players on a baseball team. The team started with p people. Three people were added to the team, then that number was tripled. How many players did the team start with?

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mhanifa

Answer:

  1. At least 10 hours
  2. No more than 7 feet
  3. At least $7.5
  4. More than 3 players

Step-by-step explanation:

1.

  • 20x + 100 ≥ 300
  • 20x ≥ 200
  • x ≥ 200/20
  • x ≥ 10

At least 10 hours

2.

  • 2(8 + x) ≤ 30
  • 8 + x ≤ 15
  • x ≤ 15 - 8
  • x ≤ 7 feet

No more than 7 feet

3.

  • 8x + 20 ≥ 80
  • 8x ≥ 60
  • x ≥ 60/8
  • x ≥ 7.5

At least $7.5

4.

  • 3(p + 3) > 18
  • p + 3 > 18/3
  • p + 3 > 6
  • p > 6 - 3
  • p > 3

More than 3 players

Answer:

At least 10 hours

QUESTION 1

20x + 100 ≥ 300

20x ≥ 200

x ≥ 200/20

x ≥ 10

At least 10 hours

QUESTION 2

2(8 + x) ≤ 30

8 + x ≤ 15

x ≤ 15 - 8

x ≤ 7 feet

No more than 7 feet

QUESTION 3

8x + 20 ≥ 80

8x ≥ 60

x ≥ 60/8

x ≥ 7.5

At least $7.5

QUESTION 4

3(p + 3) > 18

p + 3 > 18/3

p + 3 > 6

p > 6 - 3

p > 3

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