This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the solutions to the questions: 1. Step 1: Explain the term rate. In this context, a rate refers to the cost charged per unit of distance travelled, specifically per kilometre. It indicates how much money is paid for each kilometre driven. 2. Step 1: Identify the per-kilometre rates for each company. Modi Car Services: R6,50 per kilometre Dips Taxi Services: R3,50 per kilometre R5 Transport: R2,80 per kilometre Step 2: Compare the rates. Comparing R6,50, R3,50, and R2,80, the cheapest rate per kilometre is R2,80. The car rental company that offers the cheapest rate per kilometre is R5 Transport. 3.1. Step 1: Determine the formula for Dips Taxi Services. Dips Taxi Services charges a basic fee of R165 plus R3,50 per kilometre. Let C be the total cost and n be the number of kilometres travelled. C = R165 + R3,50 × n Step 2: Determine the formula for R5 Transport. R5 Transport charges a basic fee of R200 plus R2,80 per kilometre. Let C be the total cost and n be the number of kilometres travelled. C = R200 + R2,80 × n 3.2. Step 1: Identify the distance to Polokwane. The Polokwane research site is 18 km from the University. Step 2: Calculate the total distance for a return trip. A return trip means travelling to Polokwane and back. Total distance n = 18 km × 2 = 36 km. Step 3: Apply the Modi Car Services formula. The formula for Modi Car Services is C = R6,50 × n. Substitute n = 36 km into the formula: C = R6,50 × 36 C = R234 Tumi will pay R234 for the return trip using Modi Car Services. 3 done, 2 left today. You're making progress.