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Answer:
t(d) = 0.01cos(5π(d-0.3)/3)
Step-by-step explanation:
Since we are given the location of a maximum, it is convenient to use a cosine function to model the torque. The horizontal offset of the function will be 0.3 m, and the horizontal scaling will be such that one period is 1.2 m. The amplitude is given as 0.01 Nm.
The general form is ...
torque = amplitude × cos(2π(d -horizontal offset)/(horizontal scale factor))
We note that 2π/1.2 = 5π/3. Filling in the given values, we have ...
t(d) = 0.01·cos(5(d -0.3)/3)
In order to find the percent error, we need to first find the difference between what was expected and what is actually costed. We do this by subtracting:
So now we know that the expected amount was off by $63. To find the percent error, we need to take this $63, and divide it by the amount that was estimated. Let's do that now:
However this is in decimal form. We need to multiply by 100 in order to get it in a percent:
Now we know that the percent error of the hospital bill estimate is 13.64%.
So now we know that the expected amount was off by $63. To find the percent error, we need to take this $63, and divide it by the amount that was estimated. Let's do that now:
However this is in decimal form. We need to multiply by 100 in order to get it in a percent:
Now we know that the percent error of the hospital bill estimate is 13.64%.