Answer :
Final answer:
Linear approximation is used to estimate changes in a function near a specific point, like estimating BSA changes in a patient gaining weight. Compare the linear approximation with the actual change in BSA to determine its accuracy. The correct option is C .
Explanation:
Linear approximation is a method used to estimate changes in a function near a specific point by using the tangent line at that point as an approximation. In this case, you can use linear approximation to estimate the change in BSA for a patient who gains weight. The formula for linear approximation is given by: Δf ≈ f'(x)Δx, where Δf is the change in BSA, f'(x) represents the derivative of BSA with respect to weight, and Δx is the change in weight.
To compare the approximation with the actual change in BSA, you can calculate the actual change using the exact formula for BSA. If the linear approximation overestimates the change in BSA, the calculated change using the linear approximation will be higher than the actual change; if it underestimates, the calculated change will be lower. By comparing the two values, you can determine if linear approximation provides an accurate estimate or if it overestimates or underestimates the change in BSA.
In conclusion, by utilizing linear approximation and the actual formula for BSA calculation, you can determine the accuracy of the estimate provided by linear approximation and compare it to the real change in BSA for the patient in question.
