Question 13 of 17intermediate🔧 ApplyNumerical3 marks

Radha is preparing for a cycling race and practices daily. The first week she cycles 5 km every day. Every week she increases the daily distance cycled by 'z' km. How many kilometers would Radha have cycled after 3 weeks?

Correct Answer

Given: Week 1 daily distance = 5 km Week 2 daily distance = 5 + z km Week 3 daily distance = 5 + 2z km Each week has 7 days

Calculation: Week 1: 7 days × 5 km = 35 km Week 2: 7 days × (5 + z) km = 35 + 7z km Week 3: 7 days × (5 + 2z) km = 35 + 14z km

Total: Total = 35 + (35 + 7z) + (35 + 14z) = 105 + 21z km

Answer: After 3 weeks, Radha would have cycled 105 + 21z kilometers.

Exercise: Figure it Out (Section 3) | Q: 4 | (Page Page 22)
For More Understanding

Explanation

The chapter shows how to write expressions for patterns. Week 1: daily distance = 5 km. Week 2: daily distance = 5 + z km. Week 3: daily distance = 5 + 2z km. Each week has 7 days, so multiply daily distance by 7 for each week and add.

Solution Steps

  1. Step 1: Week 1 daily distance = 5 km, weekly total = 7×57 \times 5 = 35 km

  2. Step 2: Week 2 daily distance = 5 + z km, weekly total = 7(5 + z) = 35 + 7z km

  3. Step 3: Week 3 daily distance = 5 + 2z km, weekly total = 7(5 + 2z) = 35 + 14z km

  4. Step 4: Total = 35 + (35 + 7z) + (35 + 14z) = 105 + 21z km

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