Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

Round 1 of a tennis tournament starts with 64 players. After each round, half of the players have lost and are eliminated from the tournament. Therefore, in round 2 there are 32 and in round 3 there are 16 players and so on. Can this relationship be modeled by a linear function? Provide evidence to support your claim.

Sagot :

MrRoyal

Answer:

It can not be modeled by a linear function

Step-by-step explanation:

The given parameters can be represented as:

[tex](x_1,y_1) = (1,64)[/tex]

[tex](x_2,y_2) = (2,32)[/tex]

[tex](x_3,y_3) = (3,16)[/tex]

Where: x = rounds and y = players

Required:

Determine if it can be represented by a linear function

To do this, we simply calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

and

[tex]m = \frac{y_3 - y_2}{x_3 - x_2}[/tex]

Using: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex], we have:

[tex]m = \frac{32 - 64}{2 - 1}[/tex]

[tex]m = \frac{-32}{ 1}[/tex]

[tex]m = -32[/tex]

Using [tex]m = \frac{y_3 - y_2}{x_3 - x_2}[/tex], we have:

[tex]m = \frac{16 - 32}{3 - 2}[/tex]

[tex]m = \frac{-16}{1}[/tex]

[tex]m = -16[/tex]

Since both slopes are not the same, the relationship be modeled by a linear function

We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.