The percent error is 4.167 %
Solution:
Given that, Mrs Franklin's speedometer said she was driving at a rate of 48 miles per hour
When checking the accuracy of her speedometer, an Automotive Specialist recorded her speed at 50 miles per hour
The percent error is given by formula:
Percent error is the difference between a measured and known value, divided by the known value, multiplied by 100%
![\text{Percent error } = \frac{\text{experimental-theoretical}}{theoretical} * 100](https://img.qammunity.org/2021/formulas/mathematics/middle-school/4r13c3y5v409bbvkrku9k26badc593fvye.png)
From given,
Experimental value = 50
Theoretical value = 48
Substituting the values in formula, we get,
![Percent\ Error = (50-48)/(48) * 100\\\\Percent\ Error = (2)/(48) * 100\\\\Percent\ Error = 4.167](https://img.qammunity.org/2021/formulas/mathematics/middle-school/tgqkm5cb7wemgfmii0myazqplrd5ro4jgr.png)
Thus the percent error is 4.167 %