Subjects algebra

Bella Walk Distance Af2Afa

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1. **Problem statement:** Bella walked to the grocery store, and we want to find the total distance she traveled during her walk, not just the straight-line distance from home to the store. 2. **Key information:** - Total time: 2.5 hours (which is 150 minutes). - Time spent on phone calls (stopped walking): 50 minutes. - The graph shows distance from home over time. 3. **Understanding the problem:** The distance traveled is the sum of all distances covered during walking periods, including any backtracking. 4. **Step-by-step calculation:** - From 0 to 30 minutes, distance increases from 0 km to 2 km: distance traveled = $2 - 0 = 2$ km. - From 30 to 40 minutes, distance increases from 2 km to 5 km: distance traveled = $5 - 2 = 3$ km. - From 40 to 70 minutes, distance decreases from 5 km to 2.5 km: distance traveled = $5 - 2.5 = 2.5$ km (backtracking). - From 70 to 90 minutes, distance remains constant at 2.5 km: distance traveled = 0 km (stopped for phone calls). - From 90 to 150 minutes, distance increases from 2.5 km to 6 km: distance traveled = $6 - 2.5 = 3.5$ km. 5. **Total distance traveled:** $$ 2 + 3 + 2.5 + 0 + 3.5 = 11 \text{ km} $$ 6. **Answer:** Bella traveled a total of **11 kilometers** during her walk to the grocery store. This is different from the straight-line distance from home to the store, which is 6 km.