Final answer:
The slope of the linear model a = 5000 + 5000(0.0425t) is 212.5, which is the coefficient of t in the equation.
Step-by-step explanation:
The question is asking for the slope of a model given by a linear equation a = 5000 + 5000(0.0425t). The slope of a linear equation is the coefficient of the variable t. Since the equation is in the form of y = mx + b, where m represents the slope, we can identify the slope as 5000(0.0425), which is 212.5.
To find the slope at a particular point, for example at t = 25 s, we wouldn't need to do anything further since the slope for a linear equation is constant. However, for a curve, the slope at a specific point would involve finding the tangent line at that point and calculating the slope using two points on that tangent line. The given problem simplifies as we are dealing with a linear model, and thus, the slope is the same across all values of t.