BuyFind

Precalculus: Mathematics for Calcu...

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

Precalculus: Mathematics for Calcu...

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

Solutions

Chapter 1.1, Problem 78E
To determine

To evaluate: The values of the quantities T0TG , |T0TG| for each day and which of the values gives more information.

Expert Solution

Answer to Problem 78E

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

  T0 TG T0TG Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.1, Problem 78E , additional homework tip  1 |T0TG|
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 T0TG gives more information.

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:

Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.1, Problem 78E , additional homework tip  2

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 T0TG Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.1, Problem 78E , additional homework tip  3 |T0TG|
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| .

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