Question

Suppose you want to cut 1515 identical boards of length 33 feet. the procedure is to measure and cut the first​ board, then use the first board to measure and cut the second​ board, then use the second board to measure and cut the third​ board, and so on. answer parts a and

b.
a. what are the possible lengths of the 1515th board​ if, each time you cut a​ board, there is a maximum error of plus or minus±one third 1 3 ​inch? the board could be as short as nothing inches or as long as nothing inches. ​(simplify your answer. type integers or decimals rounded to the nearest hundredth as​ needed.)

Answer 1

The lengths of the 1515th board could range from 32.51 feet to 33.49 feet, considering the maximum measurement error of plus or minus one third inch per cut.

Step-by-step explanation:

To find the possible lengths of the 1515th board, we need to consider the maximum error in each board measurement. Each time a board is cut, there is a maximum error of plus or minus one third inch. So, the 1515th board could be as short as 33 feet minus 1515 multiplied by one third inch, and as long as 33 feet plus 1515 multiplied by one third inch. Simplifying this, the 1515th board could be as short as 32.51 feet and as long as 33.49 feet.

Answer 2

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