Here are the solutions to the questions: a) How far is it from home to school if you travel through the direct route? b) i) Since you qualify for the bursary, how much will you pay?

Here are the solutions to the questions: a) How far is it from home to school if you travel through the direct route? Step 1: Identify the path as a right-angled triangle. The travel route forms a right-angled triangle with legs of 8 km (west) and 15 km (south). The direct route is the hypotenuse. Step 2: Apply the Pythagorean theorem. Let d be the direct distance. d^2 = (8 km)^2 + (15 km)^2 Step 3: Calculate the direct distance. d^2 = 64 km^2 + 225 km^2 d^2 = 289 km^2 d = sqrt(289 km)^2 d = 17 km b) i) Since you qualify for the bursary, how much will you pay? Step 1: Calculate the total school fees after bursary discount. Original school fees: shs 900,000 Bursary discount: 60% of school fees Discount amount = 0.60 × 900,000 shs = 540,000 shs School fees after discount = 900,000 shs - 540,000 shs = 360,000 shs Step 2: Calculate the admission fees after bursary. Original admission fees: shs 100,000 Bursary benefit: Free admission Admission fees after bursary = 0 shs Step 3: Calculate the uniform fees after bursary discount. Original uniform fees: shs 350,000 Bursary discount: shs 87,500 Uniform fees after discount = 350,000 shs - 87,500 shs = 262,500 shs Step 4: Calculate the total amount to pay with the bursary. Total amount = School fees (after discount) + Admission fees (after discount) + Uniform fees (after discount) Total amount = 360,000 shs + 0 shs + 262,500 shs Total amount = shs 622,500 b) ii) Will your guardian afford the school expenses according to her budget? Justify your answer. Step 1: Compare the total expenses with the guardian's budget. Guardian's budget = shs 700,000 Total expenses with bursary = shs 622,500 Step 2: Determine affordability and justify. Since 622,500 shs < 700,000 shs, the guardian will afford the school expenses. Justification: The total cost of shs 622,500 is less than the guardian's budget of shs 700,000. c) How much will those who are to pay school fees of shs 900,000 pay per installment, according to your plans? Plan 1: Two installments Step 1: Calculate the first installment. First installment = (11)/(15) × 900,000 shs First installment = 11 × 60,000 shs First installment = shs 660,000 Step 2: Calculate the second installment (balance). Second installment = 900,000 shs - 660,000 shs Second installment = shs 240,000 Plan 2: Three equal installments Step 1: Calculate the amount per installment. Each installment = 900,000 shs3 Each installment = shs 300,000 d) Which payment plan would you recommend for them and why? I would recommend Plan 2. This plan requires three equal installments of shs 300,000 each, spread across the term (beginning, visitation, and end of term). This approach breaks down the total cost into smaller, more manageable payments, which is generally easier for budgeting and cash flow compared to Plan 1's large initial payment of shs 660,000. Send me the next one 📸