The cost of shipping a 25-lb. box with UPS is $25.50. If the weight, w, of the box may vary by no more than 3 pounds, what is the range of weights of a box that ships for $25.50…

Question

asked Oct 13, 2019 137k views

2 Answers

Wordica · Answer 1 · 2019-10-13T14:22:49+0000

Answer:

$22\leq w\leq 28$

Explanation:

Let w represent weight of the box.

We have been given that the the cost of shipping a 25-lb. box with UPS is $25.50.

We will use tolerance formula to solve our given problem.

$|\text{Actual}-\text{Ideal}|\leq \text{Tolerence}$

$|w-25|\leq 3$

Using absolute inequality, if
$|u|\leq a$ ; then
$-a\leq u \leq a$

$-3\leq w-25\leq 3$

$-3+25\leq w-25+25\leq 3+25$

$22\leq w\leq 28$

Therefore, the range of weights of a box is
$22\leq w\leq 28$ that ships for $25.50.

Farid · Answer 2 · 2019-10-17T17:46:27+0000

Let w represents the weight of the box .

It is given that , the weight, w, of the box may vary by no more than 3 pounds.

That is

$| w-25 | \leq  3$

$-3 \leq w-25 \leq  3$

Adding 25

$25-3 \leq  w  \leq  25+3 \\ 22 \leq  w \leq  28$

And that's the required range .