Answered

Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Experience the convenience of getting reliable answers to your questions from a vast network of knowledgeable experts. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 5\le x \le 75≤x≤7.

Sagot :

MrRoyal

Answer:

[tex]Average\ Rate = 48[/tex]

Step-by-step explanation:

Given

See attachment for table

Required

Determine the average rate of change over [tex]5\le x \le 7[/tex]

Average rate of change is calculated using:

[tex]Average\ Rate = \frac{f(b) - f(a)}{b - a}[/tex]

Where

[tex]a \le x\le b[/tex]

In this case:

[tex]a = 5;\ \ \ b = 7[/tex]

[tex]Average\ Rate = \frac{f(b) - f(a)}{b - a}[/tex]

[tex]Average\ Rate = \frac{f(7) - f(5)}{7 - 5}[/tex]

[tex]Average\ Rate = \frac{f(7) - f(5)}{2}[/tex]

From the table:

[tex]f(7) = 108[/tex]

[tex]f(5) = 12[/tex]

The expression becomes

[tex]Average\ Rate = \frac{108 - 12}{2}[/tex]

[tex]Average\ Rate = \frac{96}{2}[/tex]

[tex]Average\ Rate = 48[/tex]

View image MrRoyal
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.