Sarah calculated the points she earned on her test. Sarah thought she earned 95 points but the teacher told her she actually only scored 85 points. What was Sarah's percent error. Round to the nearest tenth.
error was 10
10/85 = ?
To find Sarah's percent error, you need to compare her calculated value (95 points) with the actual value (85 points). The percent error is calculated using the formula:
Percent Error = [(|calculated value - actual value|) / actual value] * 100
In this case, the calculated value is 95 points and the actual value is 85 points. Let's substitute these values into the formula:
Percent Error = [(|95 - 85|) / 85] * 100
To simplify the expression, calculate the absolute difference of 95 and 85 first:
Percent Error = [(|10|) / 85] * 100
Since the absolute difference of 10 is still 10, the expression becomes:
Percent Error = [10 / 85] * 100
Now, divide 10 by 85:
Percent Error = 0.1176 * 100
Multiplying 0.1176 by 100 will give you:
Percent Error = 11.76%
Therefore, Sarah's percent error is approximately 11.8% when rounded to the nearest tenth.