Practice 1. Derrick’s Doggie Day Care charges a $12 registration fee plus $5 per hour for pet sitting. Pauline’s Pooch Park charges $3 per hour plus an $18 registration fee. Which inequality below can be used to find the number of hours, h, for which the cost of Derrick’s Doggie Day Care is at most the cost of Pauline’s Pooch Park? A 12 + 5h ≥ 3h + 18 Why or why not? ______________________________ B 5h + 12 > 18 + 3h Why or why not? ______________________________ C 12 + 5h < 3h + 18 Why or why not? ______________________________ D 12 + 5h ≤ 18 + 3h Why or why not? ______________________________ 2. Billie needs to have her refrigerator repaired. She contacts two appliance companies and is given the rates shown in the table. Service Call Charge Per Company Charge Hour Acme Repair $49 22.50 Ace Repair $0 34.75 Write an inequality that can be used to find the number of hours, n, for which Ace’s total charge is less than or the same as Acme’s total charge? 3. In any triangle, the length of the longest side must be less than the sum of the lengths of the other two sides. Write an inequality that can be used to find the value of x for the triangle shown below.
Practice 1. Derrick’s Doggie Day Care charges a $12 registration fee plus $5 per hour for pet sitting. Pauline’s Pooch Park charges $3 per hour plus an $18 registration fee. Which inequality below can be used to find the number of hours, h, for which the cost of Derrick’s Doggie Day Care is at most the cost of Pauline’s Pooch Park? A 12 + 5h ≥ 3h + 18 Why or why not? ______________________________ B 5h + 12 > 18 + 3h Why or why not? ______________________________ C 12 + 5h < 3h + 18 Why or why not? ______________________________ D 12 + 5h ≤ 18 + 3h Why or why not? ______________________________ 2. Billie needs to have her refrigerator repaired. She contacts two appliance companies and is given the rates shown in the table. Company Service Call Charge Charge Per Hour Acme Repair $49 22.50 Ace Repair $0 34.75 Write an inequality that can be used to find the number of hours, n, for which Ace’s total charge is less than or the same as Acme’s total charge? 3. In any triangle, the length of the longest side must be less than the sum of the lengths of the other two sides. Write an inequality that can be used to find the value of x for the triangle shown below.
5_whats-my-equation-inequality-or-scenario-practice.docx