Question

alexis thought a cellphone would cost $65. she went to the store and found out it cost $79. what is the percent error? 14.4% 19.4% 17.7% 33%

Explanation:

Step1: Calculate the absolute error

The formula for absolute error is \(| \text{Estimated Value}-\text{Actual Value}|\).
Here, the estimated value \(E = 65\) and the actual value \(A=79\).
\(|E - A|=|65 - 79|=| - 14| = 14\)

Step2: Calculate the percent error

The formula for percent error is \(\frac{|E - A|}{A}\times100\%\)
Substitute \(|E - A| = 14\) and \(A = 79\) into the formula:
\(\frac{14}{79}\times100\%=\frac{1400}{79}\%\approx17.7\%\)

Answer:

\(17.7\%\) (the option corresponding to \(17.7\%\) is the correct one)