Chapter 1.6, Problem 52PPS

(a)

To determine

To describe: the range of weights that would classify D’s bag as free $25, $50, and unacceptable.

Answer to Problem 52PPS

Explanation of Solution

Given information:

The airline on which D is flying has weight restrictions for checked baggage. D is checking one bag.

Given table,

Calculation:

Let $x$ is weight of the baggage. Knowing that minimum weight of anything is always positive, which means can’t have something what is $-2lb$ heavy.

The bag is free from o to 50lbs and it can be written as inequality like:

  $0<x\le 50$

The bag will cost if it goes 20lbs over the limit of free baggage costs. This means that it will look like this in inequality:

  $50<x<70$

The bag will cost $50 if the weight is more than 20 but less than 50 of the limit.

  $70<x<100$

If baggage weight is more than 50lbs than the limit, it will not be allowed.

It can be expressed as:

  $x>100$

(b)

To determine

To find: the cost he pay to take it on the plane.

Answer to Problem 52PPS

His expenses will be $25.

Explanation of Solution

Given information:

The airline on which D is flying has weight restrictions for checked baggage. D is checking one bag.

Given table,

D’s bag weighs 68 pounds.

Calculation:

D’s bag is in the second category, which means his bag is in between $50<x<70$ lbs of weight.

So, his expenses will be $25.