Inequalities/Direct Variation

Mike has at least $250 in his savings account. Which inequality represents this situation?

• m < 250

• m > 250

• m ≤ 250

• m ≥ 250

Zach can spend at most $100 on new cloths. Which inequality represents this situation?

• s < 100

• s > 100

• s ≤ 100

• s ≥ 100

The Rug store installs carpet for $80 plus $9.50 per square yard of carpet. The Magic Carpet charges $120 for installation and $7.50 per square yard of carpet. Write an inequality that could be used to determine the number of square yards of carpet that need to be installed for The Rug Store to charge more than The Magic Carpet.

• 80+9.50x > 120+7.50x
• 80+9.50x < 120+7.50x
• 80x+9.50 > 120x+7.50
• 80x+9.50 < 120x+7.50

Cody’s Gym charges a $15 fee to join and $30 per month. Tyler’s Gym charges a $30 fee to join and $20 per month. Write an inequality that could be used to determine after how many months Tyler’s gym would be a better deal.

• 30 + 20x < 15 + 30x
• 30x + 20 < 15x + 30
• 30 + 20x > 15 + 30x
• 30x + 20 > 15x + 30

• Kasey has a gift card for $25. Marco has a gift card for $15. Kasey adds $3 to her gift card every month. Marco spends $2 per month of his gift card. How many months will it take until Marco has more on his gift card than Kasey?

• The school band has 25 people, and the theater class has 15 people. The school band lost 2 kids per month this year, while the theater class gained 3 kids per month. How many months will it take for the theater class to have at least the same amount of kids as the band class?

The amount of money earned on a job is directly proportional (varies directly) to the number of hours worked.  If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?

• $2
• $308
• $1.57
• $265

In a direct variation, y=39 when x=3.  Find the value of y when x=2.

• 26
• 3
• 58.5
• 2

Trina's paycheck earnings varies directly as the number of hours she works. If she works 19 hours and earns $187.15, what should she earn if she worked 40 hours? 

• $394
• $440
• $472.80
• $512.20

A person’s weekly pay is directly proportional (varies directly) to the number of hours worked. Shawn’s pay is $123.00 for 20 hours of work. Find the amount of pay for 31 hours of work. 

• $3813
• $620
• $190.65
• $4.96

The number of kilograms of water in a person’s body varies directly as the person’s mass.  A person with a mass of 90 kg contains 60 kg of water.  How many kilograms of water are in a person whose mass is 75 kg?

• 50 kg water
• 72 kg water
• 94 kg water
• 150 kg water