Question

1. 360 is increased by 25%. the result is then decreased by 50%. what is the final number?

1. critique reasoning two trials are conducted for an experiment. in trial a, the measured value is 240, while the actual value is 200. in trial b, the measured value is 195, while the actual value is 240. an assistant says that trial b has the greater percent error. is the assistant correct? explain.

Explanation:

Step1: Calculate the value after 25% increase

The formula for percentage increase is \(A = P(1 + r)\), where \(P = 360\) (the original number) and \(r=0.25\) (the rate of increase).

$$A = 360\times(1 + 0.25)=360\times1.25 = 450$$

Step2: Calculate the value after 50% decrease

The formula for percentage decrease is \(B=A(1 - s)\), where \(A = 450\) (the number after increase) and \(s = 0.5\) (the rate of decrease).

$$B=450\times(1 - 0.5)=450\times0.5=225$$

Answer:

\(225\)