6th Edition

ISBN: 9781285074672

Author: Larson

Publisher: CENGAGE L

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Question

Chapter 1.4, Problem 53E

(a).

To determine

To Find: The nature of changes in the daily high temperature recorded for a week by a weather observatory in a city.

(a).

Expert Solution

Answer to Problem 53E

The daily high temperature has increased from Sunday to Monday.

Explanation of Solution

Given Information: The high temperature of a city on Sunday is −19oC andthe high temperature on Monday is −17oC .

Method Used: If two numbers are plotted on the number line, the number to the right is the higher number and the number to the left is the lower number.

Plot −19 and −17 on the number line.

ELEMENTARY+INTERMEDIATE ALGEBRA, Chapter 1.4, Problem 53E , additional homework tip 1

On the above number line, the high temperature corresponding to Monday is to the right of the high temperature corresponding to Sunday. Hence, high the temperature has increased from Sunday to Monday.

(b).

To determine

To Find: The nature of changes in the daily high temperature recorded for a week by a weather observatory in a city.

(b).

Expert Solution

Answer to Problem 53E

The daily high temperature has decreased from Friday to Saturday.

Explanation of Solution

Given Information: The high temperature of a city on Friday is −18oC and the high temperature on Saturday is −21oC .

Method Used: If two numbers are plotted on the number line, the number to the right is the higher number and the number to the left is the lower number.

Plot −18 and −21 on the number line.

ELEMENTARY+INTERMEDIATE ALGEBRA, Chapter 1.4, Problem 53E , additional homework tip 2

On the above number line, the high temperature corresponding to Saturday is to the left of the high temperature corresponding to Friday. Hence, the high temperature has decreased from Friday to Saturday.

(c).

To determine

To Find: The warmest and coldest day of the city in a week from the temperatures recorded by a weather observatory

(c).

Expert Solution

Answer to Problem 53E

The hottest day is Wednesday and the coldest day is Saturday.

Explanation of Solution

Given Information: The temperature recordings for each day of the week.

ELEMENTARY+INTERMEDIATE ALGEBRA, Chapter 1.4, Problem 53E , additional homework tip 3

Method: When a group of numbers are plotted on a number line, the highest number is the rightmost number and the lowest number is the leftmost number.

Plot the daily high temperatures of all the seven days of the week on a number line.

ELEMENTARY+INTERMEDIATE ALGEBRA, Chapter 1.4, Problem 53E , additional homework tip 4

The leftmost number is −21 corresponding to Saturday. So, Saturday’s high temperature of −21oC is the lowest in the week.

The rightmost number is −9 corresponding to Wednesday. So, Wednesday’s high temperature of −9oC is the highest in the week.

(d).

To determine

To Find: Periods of two or more days of consecutive increase or decrease in daily high temperature, if any, from the temperatures recorded for a week by a weather observatory in a city.

(d).

Expert Solution

Answer to Problem 53E

The daily high temperature has increased for three consecutive days from Sunday to Wednesday and then it decreased for three consecutive days from Wednesday to Saturday.

Explanation of Solution

Given: The daily high temperatures recorded on seven days of a week were plotted in the previous sub-part as shown below.

ELEMENTARY+INTERMEDIATE ALGEBRA, Chapter 1.4, Problem 53E , additional homework tip 5

Method: If two numbers are plotted on the number line, the number to the right is the higher number and the number to the left is the lower number.

In the above number line, the temperature corresponding to

Monday is to the right of Sunday.
Tuesday is to the right of Monday.
Wednesday is to the right of Tuesday.

So, the daily high temperature has consistently increased for 3days from Sunday to Wednesday.

Also, in the above number line, the temperature corresponding to

Thursday is to the left of Wednesday.
Friday is to the left of Thursday.
Saturday is to the left of Friday.

So, the daily high temperature has consistently decreased for 3days from Wednesday to Saturday.

Chapter 1.4, Problem 52E

Chapter 1.4, Problem 54E

Chapter 1 Solutions

ELEMENTARY+INTERMEDIATE ALGEBRA

Ch. 1.1 - Prob. 1C Ch. 1.1 - Prob. 2C Ch. 1.1 - Prob. 3C Ch. 1.1 - Prob. 4C Ch. 1.1 - Prob. 1E Ch. 1.1 - Prob. 2E Ch. 1.1 - Prob. 3E Ch. 1.1 - Prob. 4E Ch. 1.1 - Prob. 5E Ch. 1.1 - Prob. 6E

Ch. 1.1 - Prob. 7E Ch. 1.1 - Prob. 8E Ch. 1.1 - Prob. 9E Ch. 1.1 - Prob. 10E Ch. 1.1 - Prob. 11E Ch. 1.1 - Prob. 12E Ch. 1.1 - Prob. 13E Ch. 1.1 - Prob. 14E Ch. 1.1 - Prob. 15E Ch. 1.1 - Prob. 16E Ch. 1.1 - Prob. 17E Ch. 1.1 - Prob. 18E Ch. 1.1 - Prob. 19E Ch. 1.1 - Prob. 20E Ch. 1.1 - Prob. 21E Ch. 1.1 - Prob. 22E Ch. 1.1 - Prob. 23E Ch. 1.1 - Prob. 24E Ch. 1.1 - Prob. 25E Ch. 1.1 - Prob. 26E Ch. 1.1 - Prob. 27E Ch. 1.1 - Prob. 28E Ch. 1.1 - Prob. 29E Ch. 1.1 - Prob. 30E Ch. 1.1 - Prob. 31E Ch. 1.1 - Prob. 32E Ch. 1.1 - Prob. 33E Ch. 1.1 - Prob. 34E Ch. 1.1 - Prob. 35E Ch. 1.1 - Prob. 36E Ch. 1.1 - Prob. 37E Ch. 1.1 - Prob. 38E Ch. 1.1 - Prob. 39E Ch. 1.1 - Prob. 40E Ch. 1.1 - Prob. 41E Ch. 1.1 - Prob. 42E Ch. 1.1 - Prob. 43E Ch. 1.1 - Prob. 44E Ch. 1.1 - Prob. 45E Ch. 1.1 - Prob. 46E Ch. 1.1 - Prob. 47E Ch. 1.1 - Prob. 48E Ch. 1.1 - Prob. 49E Ch. 1.1 - Prob. 50E Ch. 1.1 - Prob. 51E Ch. 1.1 - Prob. 52E Ch. 1.1 - Prob. 53E Ch. 1.1 - Prob. 54E Ch. 1.1 - Prob. 55E Ch. 1.1 - Prob. 56E Ch. 1.1 - 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