Question

*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?

Answer 1

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

Answer 2

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

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