Final answer:
The equation of the tangent line at the point (5, 5) is most likely y = 2x - 5, based on the given options and the assumption that the correct answer to part (c) provides the slope of the tangent.
Step-by-step explanation:
To find the equation of the tangent line to a curve at a given point, you need two things: the point of tangency and the slope of the tangent line at that point. The student has provided the point of tangency as (5, 5). The information provided does not give the exact slope at the point (5,5), but we can infer from the context that the correct answer to part (c) offers a hint to the tangent's slope. Since we are assuming the slope given by part (c) is correct, the equation y = 2x - 5 is likely the equation of the tangent line as it is the only option with a slope of 2, which corresponds to the derivative of the curve at the point of tangency if it were to match the graph exemplified in the question.