Question

Pay increase was to be $97/week. John's paycheck showed an increase of $115. What is the percent error?

A) 15%
B) 20%
C) 25%
D) 30%

Answer 1

To calculate the percent error for John's paycheck increase, take the absolute difference between the expected and actual increases ($18), divide by the expected increase ($97), and multiply by 100%, resulting in approximately 18.56%, with the closest option being 20%.

Therefore, the closest answer to the options given is: B) 20%.

Step-by-step explanation:

The question is asking to calculate the percent error of John's paycheck increase. The formula to calculate percent error is (|error amount| / expected amount) x 100%. In this case, the expected pay increase was $97/week, but the actual increase was $115/week. Thus, the error amount, which is the absolute value of the difference between actual and expected values, would be |$115 - $97| = $18. Now we can calculate the percent error by using the formula:

Percent error = (|$18| / $97) x 100% = { (18 / 97) x 100% }

Performing the calculation, we get:

Percent error = (0.18556701 x 100)% ≈ 18.56%