Answered

IDNLearn.com is your go-to resource for finding expert answers and community support. Ask anything and get well-informed, reliable answers from our knowledgeable community members.


34. Find the average rate of change for x 0.5 to 35 for the following temperatures in degrees Fahrenheit
recorded beginning at noon. Also interpret the meaning of x = 3.5.

Sagot :

Akposevictoridn

The average rate of change between the interval x = 0.5 to x = 3.5 is: 5.

x = 3.5 represents 3.5 hours after noon.

How to Find Average Rate of Change Over an Interval

Given an interval of x = a to x = b, the average rate of change over the given interval of a function can be calculated using the formula below:

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

Given table representing the function as shown in the image attached below, let's determine the average rate of change for x = 0.5 to x = 3.5.

a = 0.5

f(a) = 47 (from the table, when x = 0.5, y = 47)

b = 3.5

f(b) = 62 (from the table, when x = 3.5, y = 62)

Plug the values into [tex]\frac{f(b) - f(a)}{b - a}[/tex]

Average rate of change = [tex]\frac{62 - 47}{3.5 - 0.5} = \frac{15}{3} = 5[/tex]

Average rate of change = 5

x = 3.5 represents 3.5 hours after noon.

Learn more about average rate of change on:

https://brainly.com/question/11627203

View image Akposevictor
We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. For dependable and accurate answers, visit IDNLearn.com. Thanks for visiting, and see you next time for more helpful information.