Inequalities in the Real World

Which inequality matches the situation:
Wingzz airlines limits baggage to 80 pounds per person.  You pack 2 bags.  The first bag weighs 42 pounds.  How much can the 2nd bag weigh?

• x + 42 < 80

• x + 42 > 80

• x + 42 ≤ 80

• x + 42 ≥ 80

Lea needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes. What is the least number of cars she can wash to buy the headphones? Write the inequality to the problem.

• 14x+30 ≥ 240

• 14x+30 ≤ 240

• 30x+14 ≥ 240

• 30x+14 ≤ 240

Which situation can be represented by the inequality
15 + 6x ≤ 100?

• Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

• Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

• Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

• Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

Ashley is buying pizzas for her birthday party. She can spend no more than $60. If each pizza is $7, which of the following inequalities best represents this situation?

Bam bought 4 mangoes and 7 guavas. The total amount she paid was at least $23. If 𝑥 represents the cost of each mango and 𝑦 the cost for each guava, which of the following mathematical statements represents the given situation?

• 4𝑥 + 7𝑦 ≥ 23

• 4𝑥 + 7𝑦 ≤ 23

• 4𝑥 + 7𝑦 > 23

• 4𝑥 + 7𝑦 < 23

Sarah makes small purses (x) and big purses (y). She can make no more than 8 purses a week.
Which inequality represents the situation?

• x + y ≤ 8

• x + y ≤ 6

• 2x + 3y ≤ 6

• x + y ≤ 10

Tags

A2.ACE.3

Bam bought 4 mangoes and 7 guavas. The total amount she paid was at least 𝑃ℎ𝑝 230. If 𝑥 represents the cost of each mango and 𝑦 the cost for each guava, which of the following mathematical statements represents the given situation?

• 4𝑥 + 7𝑦 ≥ 230

• 4𝑥 + 7𝑦 ≤ 230

• 4𝑥 + 7𝑦 > 230

• 4𝑥 + 7𝑦 < 230

Which sentence represents m > 41?

• Mary’s points, m, totaled more than 41

• Calvin ran no less than 41 miles, m

• The temperature, m, was less than 41°F

• The magazines’ cost, m, was not more than $41.

Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.

• s < 55

• s > 55

• s ≤ 55

• s ≥ 55

Which inequality matches the situation:  A parking garage charges a $2.50 base fee plus an hourly rate of $4.00. If you have at most $12.50 to pay for parking, how long can you park?

• 2.50 + 4.00x < 12.50

• 2.50 - 4.00x > 12.50

• 2.50x + 4.00 < 12.50

• 2.50x - 4.00 < 12.50