Question

1. higher order thinking suppose the original quantity is 175 and the new quantity is 126. write an expression that represents the percent change. find the percent change and express it as a rational number.

assessment practice

1. in the first week of august, there were 1,060 people at an amusement park. in the second week, there was a 20% decrease in attendance. the park had estimated that 1,500 people would attend the 2nd week. what is the approximate percent error of their estimate?

Explanation:

Step1: Calculate the actual attendance in the second week

The formula for percentage decrease is \( \text{New Value}=\text{Original Value}\times(1 - \text{Percentage Decrease})\).
The original value (first - week attendance) is \(1060\), and the percentage decrease is \(20\%=0.2\).
So, the actual attendance in the second week \(A = 1060\times(1 - 0.2)\)

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Step2: Calculate the absolute error

The formula for absolute error is \(|\text{Estimated Value}-\text{Actual Value}|\).
The estimated value is \(1500\) and the actual value is \(848\).
Absolute error \(E=|1500 - 848|=652\)

Step3: Calculate the percent error

The formula for percent error is \(\text{Percent Error}=\frac{\text{Absolute Error}}{\text{Actual Value}}\times100\%\)

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Answer:

The approximate percent error of their estimate is \(76.9\%\)