Question

write an equation to represent the scenario below. do not solve. let x be the actual length. bert measures a countertops length as 29.67 inches. the error in the measurement is equal to \\(\frac{1}{600}\\) of the actual length of the countertop. show your work here hint: to add an absolute value (\\(|x|\\)), type \absolute value\.

Explanation:

Step1: Define the error formula

The error between the measured value (29.67) and the actual value (\(x\)) is given by the absolute difference, which is \(|x - 29.67|\) (or \(|29.67 - x|\), since absolute value of a difference is symmetric).

Step2: Set the error equal to \(\frac{1}{600}\) of the actual length

The error is \(\frac{1}{600}\) of the actual length \(x\), so \(\frac{1}{600}x\). We set the absolute difference equal to this error.

So the equation is \(|x - 29.67|=\frac{1}{600}x\) (or \(|29.67 - x|=\frac{1}{600}x\), both are equivalent in this context).

Answer:

\(\boldsymbol{|x - 29.67|=\frac{1}{600}x}\) (or \(\boldsymbol{|29.67 - x|=\frac{1}{600}x}\))