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Assume that R(0,2)=4.95% and R(0.4)=6.05%. The slope of the interpolating line is? Answer with 3 decimal digits accuracy.

User RJP
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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.

User Juan Diego Lozano
by
8.6k points
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