Formulate inequalities for the following scenarios: 1. A plane has a capacity of 200 passengers. 2. A company has a budget of sh 40,000 per day for workers, with skilled workers costing sh 1,600 and u

Another one Lely — let's solve it. Here are the solutions for each problem: 1. Step 1: Define variables for the number of passengers. Let x be the number of first-class passengers. Let y be the number of second-class passengers. Step 2: Formulate the inequality based on the total capacity. The total number of passengers (x + y) should not exceed 200, meaning it must be less than or equal to 200. x + y 200 The inequality is: x + y 200 2. Step 1: Define variables and costs. Let x be the number of skilled workers. Let y be the number of unskilled workers. Skilled workers are paid sh 1 600 per day. Unskilled workers are paid sh 800 per day. Step 2: Formulate the total daily cost. Total cost = 1600x + 800y. Step 3: Formulate the inequality based on the maximum expenditure. The total amount for hiring workers should not exceed sh 40 000. 1600x + 800y 40000 Step 4: Simplify the inequality by dividing by the greatest common divisor (800). (1600x)/(800) + (800y)/(800) (40000)/(800) 2x + y 50 The inequality in its simplest form is: 2x + y 50 3. Step 1: Define variables and costs. Let x be the number of invited guests. Cost for snacks per guest = sh 200. Cost for cake ingredients = sh 1 000. Step 2: Formulate the total expected expenditure. Total expenditure = 200x + 1000. Step 3: Formulate the inequality based on the budget. Linet's budget is sh 5 000, so the total expenditure should not exceed this amount. 200x + 1000 5000 The inequality is: 200x + 1000 5000 4. Step 1: Define variables and registration fees. Let x be the number of elite athletes. Let y be the number of average athletes. Registration fee for elite athletes = sh 5 000. Registration fee for average athletes = sh 1 000. Step 2: Formulate the total amount raised. Total amount raised = 5000x + 1000y. Step 3: Formulate the inequality based on the target amount. The planning committee intends to raise at least sh 1 000 000, meaning the amount raised must be greater than or equal to sh 1 000 000. 5000x + 1000y 1000000 Step 4: Simplify the expression by dividing by the greatest common divisor (1000). (5000x)/(1000) + (1000y)/(1000) (1000000)/(1000) 5x + y 1000 The simplified expression (inequality) is: 5x + y 1000 5. Step 1: Define variables and bus capacities. Let X be the number of type X buses. Let Y be the number of type Y buses. Capacity of type X bus = 64 learners. Capacity of type Y bus = 48 learners. Step 2: Formulate the total capacity for learners. Total capacity = 64X + 48Y. Step 3: Formulate the inequality based on the number of learners. The school needs to take 384 learners, so the total capacity must be at least 384. 64X + 48Y 384 Step 4: Simplify the inequality by dividing by the greatest common divisor (16). (64X)/(16) + (48Y)/(16) (384)/(16) 4X + 3Y 24 The linear inequality is: 4X + 3Y 24 What's next?