Final answer:
The slope of the interpolating line between the points R(0,2) = 4.95% and R(0.4) = 6.05% is 0.028, after converting percentages to decimals and using the formula for slope calculation.
Step-by-step explanation:
The question is asking to find the slope of the linear interpolation between two points: R(0,2) = 4.95% and R(0.4) = 6.05%. To find the slope, we use the formula: slope = (change in y) / (change in x). Here, we have:
- Change in y (rate difference): 6.05% - 4.95% = 1.10%
- Change in x (time difference): 0.4 - 0 = 0.4
Converting the percentages into decimals gives us 0.0605 - 0.0495 = 0.011.
Now, we calculate the slope:
Slope = 0.011 / 0.4 = 0.0275
Since the question requires three decimal digits accuracy, the slope is 0.028.