# The values of the quantities T 0 − T G , | T 0 − T G | for each day and which of the values gives more information.

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.1, Problem 78E
To determine

Expert Solution

## Answer to Problem 78E

The values of the quantities T0TG and |T0TG| for each day is as follows:

 T0 TG T0−TG |T0−TG| Sunday 68 77 −9 9 Monday 72 75 −3 3 Tuesday 74 74 0 0 Wednesday 80 75 5 5 Thursday 77 68 9 9 Friday 71 70 1 1 Saturday 70 71 −1 1

### Explanation of Solution

Given:

The bar graph that shows the daily high temperatures for Omak and Genesco during a certain week in June is as follows:

Figure (1)

The temperature in Omak is denoted by T0 and the temperature in Genesco is denoted by TG .

Calculation:

The data from Figure (1) can be tabulated as follows:

 T0 TG Sunday 68 77 Monday 72 75 Tuesday 74 74 Wednesday 80 75 Thursday 77 68 Friday 71 70 Saturday 70 71

The absolute value of a real number x is,

|x|={xxifx0ifx<0

So the values of the quantities T0TG and |T0TG| is as follows:

 T0 TG T0−TG |T0−TG| Sunday 68 77 −9 9 Monday 72 75 −3 3 Tuesday 74 74 0 0 Wednesday 80 75 5 5 Thursday 77 68 9 9 Friday 71 70 1 1 Saturday 70 71 −1 1

The value of T0TG tells about the difference between the quantities T0 and TG . It also tells which of the quantities T0 or TG is greater.

If T0TG is negative, then TG is greater than T0 .

If T0TG is positive, then TG is less than T0 .

The value of |T0TG| tells us only about the difference between the two quantities T0 and TG .

Therefore, the quantity T0TG gives more information than |T0TG| .

### Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!