Question

For the weight of the box that she measured, Beatriz determined the margin of error as 23.5 pounds to 24.5 pounds. What was the greatest possible error for her actual measurement?

A) 0.5 pounds (correct)
B) 1 pound
C) 24 pounds
D) 24.5 pounds

The answer is option A.

Answer 1

answer is A
amosc @taiser123

Answer 2

Answer: A) 0.5 pound

Explanation:

Let x be the actual or the ideal measure of the weight of the box and E be the error .

Given : Beatriz determined the margin of error as 23.5 pounds to 24.5 pounds.

Then , we have the following equations :-

`x-E=23----------------------(1)\\\\ x+E=24.5----------------(2)`

Subtract (1) from (2) , we get

`2E=24.5-23.5\\\\|rightarrow\ 2E=1\\\\\Rightarrow\ E=(1)/(2)=0.5`

Hence, the greatest possible error for her actual measurement was 0.5 pounds