Question

Cindy purchased 100 bricks. Each brick is within 1/8 inch of the advertised length of 8 inches. Cindy will line the bricks up end to end, with no space between them, to build a straight line path.
a) Write a single inequality that can be used to find the possible lengths of the path.
b) What is the minimum length of the path?
c) What is the maximum length of the path?

Answer 1

If each brick is within 1/8 inches of 8 inches, then that's an error of
 $\frac{(\frac{1}{8})}{8} =\frac{1}{64}$
If we then take the total length if each brick is 8 inches,
$100*8=800$
Then take 1/64 of this
$800*\frac{1}{64}=12.5[tex] So the upper and lower bounds are 12.5 inches either side of 800 inches 787.5, and 812.5 So we can say that [tex]787.5 \leq x \leq 812.5$
Which would be the answer to part a. parts b and c would be the lower and upper bounds, so 787.5 and 812.5 respectively
Hope this helps