A taxi company charges a flag-down fare of $4 and an additional $1 for every kilometre travelled. During peak hours, a surcharge of 25% is added to the TOTAL fare (flag-down plus distance charge). Mr Tan takes a peak-hour taxi for x km. Which of the following expressions correctly represents the total fare, in dollars, that Mr Tan must pay?
Show Worked Solution
Worked Solution
Step 1: Write down the base fare before the peak surcharge. Flag-down ($4) + distance charge ($1 × x km) = (4 + x) dollars.
Step 2: Apply the 25% peak surcharge to the WHOLE base fare. A 25% surcharge means the new total is 100% + 25% = 125% of the base, i.e. multiply by 1.25.
Step 3: Total fare = 1.25 × (4 + x) dollars.
Check with x = 10: base = 4 + 10 = 14; 1.25 × 14 = 17.50. Cross-check: 25% of 14 = 3.50; 14 + 3.50 = 17.50 ✓.
Final answer: 1.25(4 + x).
Answer: 1.25(4 + x)
Correct answer: 1.25(4 + x)
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