Inequalities A.5.c

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee can spend at most $680. Which inequality represents the maximum amount of hours the DJ will play at the dance?

• 125x + 55 ≤ 680

• 125x + 55 ≥ 680

• 125x + 55 > 680

• 125x + 55 < 680

The Starbucks Company wants to send a team of three representatives to a conference.  Their budget is $700 plus $125 per day for expenses.  If their total budget cannot exceed $1,400.00, which of the following inequalities expresses this situation?

• 125x + 700 ≥1400

• 700 + 125x ≤1400

• 700x + 125 ≤1400

• 125x - 700 ≤ 1400

Joan needs more than $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

• x<18

• x>22

• x<22

• x>18

Ruby set a goal of saving at least $200 in a savings account.

She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal?

Solve the inequality/answer the question.

• x ≥ 28

• x ≤ 28

• x > 28

• x < 28

Ross and Chandler go to Taco Land and order sodas for a total of $3.50. They also want to order some tacos (of course), which cost $1.75 each. If they have $20, how many tacos can they buy? Which inequality best represents the situation.

• 3.50 + 1.75t > 20
• 1.75 + 3.50t ≤ 20
• 3.50 + 1.75t ≥ 20
• 1.75t + 3.50 ≤ 20

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.

Erin can read at least 80 words per minute. Write an inequality to show this situation. 

• x > 80
• x < 80
• x ≥ 80
• x ≤ 80