Parry Stanley
05/01/2023 · Elementary School

An Olympic athlete set a world record of 9.33 s in the \( 100-\mathrm{m} \) dash. Did his speed ever exceed \( 38 \mathrm{~km} / \mathrm{hr} \) during the race? Explain. Select the correct choice below and fill in any answer boxes to complete your choice. (Round to one decimal place as needed.) A. The average speed is \( \square \mathrm{km} / \mathrm{hr} \). By the Mean Value Theorem, the speed was exactly \( \square \mathrm{km} / \mathrm{hr} \) at least once. By the Intermediate Value Theorem, all speeds between \( \square \) and \( \square \mathrm{km} / \mathrm{hr} \) were reached, therefore the athlete's speed never exceeded \( 38 \mathrm{~km} / \mathrm{hr} \). B. The average speed is \( \square \mathrm{km} / \mathrm{hr} \). Since this value is below \( 38 \mathrm{~km} / \mathrm{hr} \), it is impossible to tell if his speed exceeded \( 38 \mathrm{~km} / \mathrm{hr} \). C. The average speed is \( \square \mathrm{km} / \mathrm{hr} \). By the Mean Value Theorem, the speed was exactly \( \square \mathrm{km} / \mathrm{hr} \) at least once. By the Intermediate Value Theorem, all speeds between \( \square \) and \( \square \mathrm{km} / \mathrm{hr} \) were reached, therefore the athlete's speed exceeded \( 38 \mathrm{~km} / \mathrm{hr} \).

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The average speed is \( 38.5 \mathrm{~km/hr} \). The athlete's speed exceeded \( 38 \mathrm{~km/hr} \).

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