Subjects algebra

Average Distance Earth 101Ab2

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1. **Stating the problem:** We have two questions: a) What is the average distance each participant walked in the Stikk UT! event? b) How far has Sunnmøre friluftsråd calculated the circumference of the Earth to be? 2. **Given data:** - Total participants: 40,000 - Total trips: nearly 1,000,000 - Total distance walked: 3,300,000 km - This distance corresponds to 83 times around the Earth. 3. **Formulas and rules:** - Average distance per participant = Total distance / Number of participants - Circumference of the Earth = Total distance / Number of times around the Earth 4. **Calculations:** **a) Average distance per participant:** $$\text{Average distance} = \frac{3,300,000}{40,000}$$ Simplify: $$= \frac{3,300,000}{40,000} = 82.5$$ So, each participant walked on average 82.5 km. **b) Circumference of the Earth:** Given that 3,300,000 km corresponds to 83 times around the Earth: $$\text{Circumference} = \frac{3,300,000}{83}$$ Simplify: $$= \frac{3,300,000}{83} \approx 39,759.04$$ So, the Earth’s circumference is approximately 39,759 km according to Sunnmøre friluftsråd. **Final answers:** - a) Average distance per participant: 82.5 km - b) Earth’s circumference: approximately 39,759 km