The measurement of a quantity has an error of p percent if p

The measurement of a quantity has an error of p percent if p/100 = |a - m|/a, where a is the actual value and m is the measured value The measured value of the surface area of a lake is 10 200 square motors, and the measurement error is at most b percent Which of the following could be the actual surface area of tho lake, in square meters? 9,500 10,000 10,500

Solution

every mesure value m have a distance real(a-m) for te real!! value a

p= 5%-> 0.05a=real(a-m)>>>> 0.05a=real(a-m)

compare

510

i) 9500>>> 10200-9500= 1300 no!.... to big!

ii) 10000>>>> 10200-10000= 200 ok this is less than 510

iii)10500>>>>>10200-10500= 500 ok is less but ii) is better