Inequalities HPMS

Mary has $120 to spend on a tour of a castle with her friends. The cost is $15 for a tour guide and then $12 per person. Which equation best represents how many friends she can invite?

• 15𝑥 + 12 ≥ 120

• 15𝑥 + 12 ≤ 120

• 12𝑥 + 15 ≥ 120

• 12𝑥 + 15 ≤ 120

Mary has $180 and a coupon for $20 off for pony rides. She wants to take her friends on pony rides and the cost is $25 a person. How many people can she invite for pony rides?

• 25𝑥 + 20 ≥ 180

• 25𝑥 + 20 ≤ 180

• 25𝑥 − 20 ≥ 180

• 25𝑥 − 20 ≤ 180

Irina only has $240 and she spent $30 for lunch. She wants to take a helicopter ride which costs $70 per hour. Which equation best represents this situation?

• 70𝑥 + 30 ≥ 240

• 70𝑥 + 30 ≤ 240

• 70𝑥 − 30 ≥ 240

• 70𝑥 − 30 ≤ 240

Miguel has $200 in the bank. He starts to deposit $75 a month. He wants to have a minimum of $1,100 in his account. Which equation best represents this situation?

• 75𝑚 − 200 ≥ 1,100

• 75𝑚 − 200 ≤ 1,100

• 75𝑚 + 200 ≥ 1,100

• 75𝑚 + 200 ≤ 1,100

You need to earn at least $85 to cover your gas and food expenses. Your babysitting job pays $7.50 per hour and your math tutoring job pays $6 per hour. Write an inequality that represents this situation.

Write the inequality:

Mathematical Equivalence

ON

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school would like to sell 3 senior citizen tickets and 2 child tickets for a total at least $42. Write an inequality that represents this situation.

Write the inequality:

Mathematical Equivalence

ON

• F
• G
• H
• J

A grill at a barbecue restaurant will be used to cook sausage links that are 2 lb each and briskets that are 6 lb each. No more than 120 lb of sausage links and briskets will be cooked on the grill. Write an inequality that represents this situation.