Modeling Inequalities

Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile, m. Katie has no more than $10 to spend on a ride. Which inequality represents this situation?

Kiran has a budget of $50.00 and wants to take his friends to the movies. Each movie ticket, m, costs $13.00 and he plans to spend $20.00 on snacks and drinks. Which of the inequalities below represents Kiran's spending for the night?

6x + 2 + 6x < 14

• x < 1

• x > 1

• x < -1

• x > -1

-3 − 6(4x + 6) > -111

• x > 3

• x < 3

• x < -3

• x > -3

Ken has $264 in his bank account.  He needs to deposit enough money to make his car payment of $189 and still have at least $150 left in his account.  Which inequality describes d, the amount of money Ken needs to deposit?

• 264 + 189 + d ≥150

• d(264 - 189) ≥ 150

• 264 - 189 + d ≥ 150

• d - 189 ≥150

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

You borrow $200 from a friend to help pay for a new laptop computer. You pay your friend back $12 per week. Write and solve an inequality to find when you will owe your friend less than $56.

• x < 12

• x > 12

• x < 21

• x > 21

• 6

• 5

• 2

• There is no largest integer solution

• 2

• 3

• 0

• 4

Which TWO of the following would we graph as OPEN circles??

• x < 5

• x < 5

• x > 5

• x > 5