A student's final grade (G) in a course is a function of the hours they study (h), represented by the equation G = 10√h. The hours of study are determined by the hours of free time (t) in a 24-hour day, where h = 24 - t. To find the rate at which the grade changes with respect to free time (dG/dt), one must break the problem into parts. Match each component of this calculation with its correct mathematical expression.
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A student's final grade (G) is a function of the hours they study (h), represented by the equation G = 10√h. The hours of study are determined by the hours of free time (t) in a 24-hour day, where h = 24 - t. What is the derivative of the grade with respect to free time (dG/dt)?
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