Linear Inequalities Applications

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?

• 1.75m + 0.75 ≥ 20

• 1.75m + 0.75 ≤ 20

• 0.75m + 1.75 ≥ 20

• 0.75m + 1.75 ≤ 20

Your class needs to raise $1000 for a field trip. You have already raised $250. You all decide to sell coupon books. You earn $12.50 for each book sold.
Choose the inequality that represents the number of books you should sell to meet or exceed your goal.

• b(250 + 12.50) ≥ 1000

• 250 + 12.50b ≥ 1000

• 250 + 12.50 + b ≥ 1000

• b ≥ 1000 - 250 - 12.50

Translate the following phrase: Grace has $45 at most in her purse on a daily basis

• g < 45

• g > 45

• g ≤ 45

• g ≥ 45

You need to save a minimum of $1200 to purchase your new laptop.  If you already have saved $400 and make 11 per hour, h, at your job, which inequality could be use to solve to determine how many hours you need to work to save enough money.

• 11h + 1200 ≥ 400

• 11h + 400 < 1200

• 11h + 400 > 1200

• 11h + 400 < 1200

• Astrid meets both of her expectations

• Astrid buys the expected number of fruits, but she does beyond her budget

• Astrid stays within her budget, but she doesn't buy the expected number of fruits

• Astrid doesn't meet either of her expectations

Solve the inequality. Don't forget to check your solution set.
12 ≥ 15 - 6y

• y ≤ ½

• y ≤ 2

• y ≥ ½

• y ≥ 2

Pick the correct letter for the graph of:

6 > x

Hint: You need to REWRITE the inequality with the variable first.

• A

• B

• C

• D

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

Solve:  -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -1 < x < 3

• 1 < x < 3

• 1 ≤ x ≤ 3

Write the numerical answer only.