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lina2011 [118]
2 years ago
13

34. Find the average rate of change for x 0.5 to 35 for the following temperatures in degrees Fahrenheit

Mathematics
1 answer:
earnstyle [38]2 years ago
3 0

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.

<h3>How to Find Average Rate of Change Over an Interval</h3>

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:

\frac{f(b) - f(a)}{b - a}

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 \frac{f(b) - f(a)}{b - a}

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

Average rate of change = 5

x = 3.5 represents 3.5 hours after noon.

Learn more about average rate of change on:

brainly.com/question/11627203

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Answer:

y=2/7x+9

Step-by-step explanation:

Slope-intercept form is written y=mx+b.

y= also known as f(x), and is always by itself in slope-intercept form.

m= the slope.

x= the variable written to the right of the slope.

b= the y-intercept.

We know that the slope is 2/7 and the y-intercept in the equation is 9. Therefore, we can plug these numbers into the equation. So...

y=2/7x+9

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Hope this helps!! Have an amazing day (^人^)

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CaHeK987 [17]

The simplest and probably the best way to understand this problem is to make up a problem that obeys what you have been given. It doesn't have to be realistic. It just has to obey the conditions. Let us suppose that you thought the diameter of the tire is 1 yard. That would mean the circumfrence is pi * d

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That would mean that the circumference is 3.14 yards. It would also mean that you would have to have the wheel turn 1760 yards / /3.14 yards / revolution which is about 561 revolutions / mile. So the way I have set up the problem, my equation is d = 561 * R where R is the number of revolutions.

Now let's see what happens when you say "O my Goodness, the wheel diameter is really 32 inches" which 0.8888888 yards  what happens now?

Now you still have to go 1760 yards How many revolutions is that?

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How many revolutions does it take to 1760 yards.

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R = 631 revolutions / mile. What happened?

Your constant goes up if the wheel diameter goes down. Think about this. Do you ride a bicycle? I do. It makes perfect sense to me that if the wheel is small, it will have to turn more often to go a mile. No matter where that 0.00125 comes from or how it was derived, the constant will have to go up if the wheel gets smaller.


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3 years ago
Merideths brother, miles, is 3 years younger than twice her age. The sum of their ages is 24. Create an equation to determine th
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Answer:


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