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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 :

akposevictor

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
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