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: Identify the fixed and variable costs. The bus company charges a flat rate of R50. This is the fixed cost. The bus company charges R30 for every hour of the trip per person. This is the variable cost per hour. Step 2: Write the formula for the cost of a single trip. Let x represent the number of hours traveled and y represent the cost of the trip. The total cost y is the sum of the flat rate and the hourly rate multiplied by the number of hours. y = 50 + 30x The formula to calculate the cost of a single trip is y = 30x + 50. Step 3: Complete the table using the formula y = 30x + 50. For x = 0 hours: y = 30(0) + 50 = 0 + 50 = 50 For x = 1 hour: y = 30(1) + 50 = 30 + 50 = 80 For x = 2 hours: y = 30(2) + 50 = 60 + 50 = 110 For x = 3 hours: y = 30(3) + 50 = 90 + 50 = 140 Here is the completed table: | Number of hours (x) | 0 | 1 | 2 | 3 | | :-------------------- | :-: | :-: | :-: | :-: | | Cost of trip (y) | 50 | 80 | 110 | 140 | Drop the next question.