Question

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?

Answer 1

Answer:

$22\leq w\leq 28$

Step-by-step 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.

Answer 2

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 .