<p>Name: ______Block: ______</p><p>Homework: Using Inequalities to Solve Word Problems</p><p>Directions: Write a proportion, equation, or inequality to help you solve each of the questions below. Then, find a solution. SHOW ALL OF YOUR WORK!</p><p>1. You are making sandwiches for a charity event. You have already made 53 sandwiches. If you are able to make 3 sandwiches per minute, how much longer will you need to make at least 200 sandwiches? Represent your answer both algebraically and graphically. </p><p>2. Find x if the area of the triangle below can be be at most 44 square centimeters. Hint: A = </p><p>8 cm</p><p>(x + 1) cm</p><p>3. The sum of 5x and 2x is greater than the difference of 9x and 4. Find the possible values for x.</p><p>4. A CRJ200 airplane is flying 925 miles from Charleston, South Carolina to Houston, Texas. The Plane has already flown 301 miles and it is currently flying a rate of 480 miles per hour. If the plane is able to maintain this rate, how long will it take the plane to complete its 925 mile journey? </p><p>5. You need to have at least $100 in your checking account to avoid a low balance fee. You have $247 in your account now and you make withdrawals of $20 per week. What are the possible number of weeks that you can withdraw money and avoid paying the fee? Name: ______Block: ______</p><p>6. Lester is trying to decide what he wants to pack in his lunches this week. He is considering purchasing yogurt. He has a coupon that will save him twelve cents on each yogurt he buys, provided that he buys eight yogurts. Lester is unwilling to spend more than $10 on yogurt. What must the regular price of a yogurt be for Lester to make this purchase? </p><p>7. Susan bought a three pound bag of apples at the farmers market for $3.48. At this rate, how much should an eight pound bag cost?</p><p>8. You are running a 10 mile race. You run the first 3 miles in 24.7 minutes. Your goal is to finish the race in less than 1 hour and 20 minutes. What should your average running time (in minutes per mile) be for the remaining miles?</p><p>9. Trisha regularly attends yoga class at her local gym on Monday evenings. The annual membership fee is only $30, but the gym charges her $7 per yoga class. The gym in the next town over, Family Fitness, charges a $95 annual membership fee, but they only charge $3 per yoga class. How many yoga classes would Trisha need to attend to make it worthwhile for her to switch to Family Fitness?</p><p>10. Write your own inequality word problem. Try to be as CREATIVE as possible! Be sure to include an answer. DO NOT SKIP THIS QUESTION – you may be asked to hand it in! </p>