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Answer :
Final answer:
The engine speed that maximizes torque is approximately 3100 revolutions per minute.
Explanation:
To find the engine speed that maximizes torque, we need to find the vertex of the quadratic function.
The vertex can be found using the formula x = -b/2a, where a is the coefficient of the quadratic term and b is the coefficient of the linear term.
In this case, the quadratic function is y = -3.75x^2 + 23.2x + 38.8.
Plugging in the values, we get x = -23.2/(2*-3.75) = 3.1.
Therefore, the engine speed that maximizes torque is approximately 3100 revolutions per minute.
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