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.
Determine the values of A & B

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Answer
R350
2.1) Step 1: Identify John's fixed expenses. Fixed expenses are costs that do not change with the number of cars washed. • Power washer rental: R300 per day • Payment to brother Tommy: R50 per day John's fixed expenses per day are .
2.2) Step 1: Identify the components of total expenses. Total expenses consist of fixed expenses and variable expenses. • Fixed expenses: R350 (from 2.1) • Variable expenses: R4 per car Let be the number of cars washed. Step 2: Write the formula for total expenses. The formula for expenses is .
2.3) Step 1: Determine the value of A. A represents the income for 5 cars. John charges R120 per car. Step 2: Determine the value of B. B represents the expenses for 15 cars. Use the formula from 2.2. The values are and .
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2.1) Step 1: Identify John's fixed expenses. Fixed expenses are costs that do not change with the number of cars washed.