Question

The language of variation is often used to describe various aspects of the Internet and websites. Determine whether each statement, generally speaking, is true or false. a. The dollar amount of sales that an Internet website receives is inversely proportional to the amount of Internet traffic that visits the website. b. The download time of an Internet website varies directly with the bandwidth being used. c. Search engines like Google place a value on a website that is directly proportional to the number of sites that link to it.

Name: Problem 33, Chapter 8: Elementary and Intermediate Algebra
Uploaded: 2020-04-15T20:51:29-08:00
Duration: 2 min 40 s
Channel: Petros Markopoulos

   The language of variation is often used to describe various aspects of the Internet and websites. Determine whether each statement, generally speaking, is true or false.
a. The dollar amount of sales that an Internet website receives is inversely proportional to the amount of Internet traffic that visits the website.
b. The download time of an Internet website varies directly with the bandwidth being used.
c. Search engines like Google place a value on a website that is directly proportional to the number of sites that link to it.

Elementary and Intermediate Algebra

Alan S. Tussy, R.… 5th Edition

Chapter 8, Problem 33

Instant Answer

Solved by Expert Petros Markopoulos

04/15/2020

Step 1

This means that as the amount of Internet traffic increases, the dollar amount of sales decreases. However, in reality, more traffic to a website generally leads to more sales. Therefore, this statement is not true. So, we can write this as: \[ \text{Statement a: Show more…

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The language of variation is often used to describe various aspects of the Internet and websites. Determine whether each statement, generally speaking, is true or false. a. The dollar amount of sales that an Internet website receives is inversely proportional to the amount of Internet traffic that visits the website. b. The download time of an Internet website varies directly with the bandwidth being used. c. Search engines like Google place a value on a website that is directly proportional to the number of sites that link to it.

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Key Concepts

Direct Proportionality

Direct proportionality is a relationship between two variables in which the rate of change is constant, meaning that as one variable increases, the other increases at a fixed ratio. This principle is foundational for modeling linear relationships in real-world scenarios where the change in one factor results in a proportional change in another.

Inverse Proportionality

Inverse proportionality describes a relationship where one variable increases while the other decreases in such a way that the product of the two variables remains constant. This concept is essential for understanding systems where an increase in one quantity forces a decrease in another, keeping their multiplication constant.

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