Real World Problems About Solving Inequalities

A taxi cab costs $1.75 and $0.75 for each additional mile. You have $20 to spend on you ride. Which inequality could be solved to find how many miles you can travel, if m is the number of additional miles?

• 1.75n + 0.75 ≥ 20

• 1.75n + 0.75 ≤ 20

• 0.75n + 1.75 ≥ 20

• 0.75n + 1.75 ≤ 20

The 30 members of a choir are trying to raise at least $1,500 to cover travel costs to a singing camp. They have already raised $600. Which inequality could you solve to find the average amounts each member can raise that will at least meet the goal?

• 30x + 600 > 1,500

• 30x + 600 ≥ 1,500

• 30x + 600 < 1,500

• 30x + 600 < 1,500

Sam make $10.25 per hour working at Cheddars.  He plans to buy a laptop for $550.  Write and solve an inequality describing how many hours h Sam will have to work to be able to buy the laptop. (Round to the next higher hour)

• 10.25h < 550; less than 54 hours

• 10.25h > 550; greater than 54 hours

• 10.25h ≤ 550; at most 54 hours

• 10.25h ≥ 550; at least 54 hours

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

• s < 55

• s > 55

• s ≤ 55

• s ≥ 55

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

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

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

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?

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.

Which represents the word sentence as an inequality?
A number w is smaller than 5.

• w < 5

• w > 5

• w ≤ 5

• w ≥ 5