1. **State the problem:** We need to find the rate of plate movement given the distance from the hot spot and the age of the island, then verify which of the given statements are true. 2. **Formula:** The rate of plate movement is calculated by dividing the distance by the age: $$\text{rate} = \frac{\text{distance}}{\text{age}}$$ 3. **Given values:** Distance = 4860 km Age = $6.5 \times 10^{7}$ years 4. **Calculate the rate in km/year:** $$\text{rate} = \frac{4860}{6.5 \times 10^{7}} = 7.4769 \times 10^{-5} \text{ km/year}$$ 5. **Check the first statement:** Convert rate to cm/year: $$7.4769 \times 10^{-5} \text{ km/year} = 7.4769 \times 10^{-5} \times 10^{5} \text{ cm/year} = 7.4769 \text{ cm/year} \approx 7.5 \text{ cm/year}$$ So, the first statement is **true**. 6. **Check the second statement:** The rate in km/year is approximately $7.5 \times 10^{-5}$ km/year, which matches our calculation. So, the second statement is **true**. 7. **Check the third statement:** Distance moved in 1 million years: $$\text{distance} = \text{rate} \times 10^{6} = 7.4769 \times 10^{-5} \times 10^{6} = 74.769 \text{ km}$$ Convert km to meters: $$74.769 \text{ km} = 74,769 \text{ m}$$ This is much larger than 75 m, so the third statement is **false**. 8. **Check the fourth statement:** Distance in 1 million years in mm: $$74.769 \text{ km} = 74,769,000 \text{ mm} = 7.4769 \times 10^{7} \text{ mm}$$ This matches approximately $7.5 \times 10^{7}$ mm, so the fourth statement is **true**. **Final answer:** The true statements are: - The rate of plate movement is approximately 7.5 cm per year. - The rate of plate movement is approximately $7.5 \times 10^{-5}$ km per year. - In a million years, the plate has moved a distance of approximately $7.5 \times 10^{7}$ mm.