The following model can be used to predict what grade G a student will earn on the next Math exam, given their current GPA x and average time they study each week t in hours: G = x + 0.24xt^2 + 5. Assuming the desired grade G is constant among a group of students. Compute dx/dt for a 3.0 student wanting to earn a B (80%) on the next exam. Label and interpret your answer. Then use the result to analyze a student that wants the same grade but only studies 8 hours each week.
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