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
Step 1: Determine which company is cheaper for 20 minutes. From previous questions: Company 1's cost formula: C_1 = 2.50m Company 2's cost formula: C_2 = 10 + 3m Calculate the cost for 20 minutes for Company 1: C_1 = 2.50 × 20 C_1 = 50.00 The cost for Company 1 for 20 minutes is R50.00. Calculate the cost for 20 minutes for Company 2: C_2 = 10 + (3 × 20) C_2 = 10 + 60 C_2 = 70.00 The cost for Company 2 for 20 minutes is R70.00. Compare the costs: R50.00 (Company 1) is less than R70.00 (Company 2). Therefore, Company 1 is cheaper for 20 minutes. Step 2: Answer Question 7.1. A real-life example of a similar linear relationship is the cost of hiring a taxi, which often involves a fixed base fare plus a cost per kilometer traveled. Step 3: Answer Question 7.2. Consider the general linear equation y = mx + c, where c is the fixed fee (y-intercept) and m is the cost per minute (gradient). • If the fixed fee increases: The graph will shift upwards parallel to its original position. The y-intercept will move higher on the y-axis. • If the cost per minute increases: The graph will become steeper. The gradient of the line will increase, causing it to rotate upwards around the y-intercept. 3 done, 2 left today. You're making progress.