So firstly, we have to find f(x) when x = 8 and x = 0. Plug the two numbers into the x variable of the function to solve for their f(x):
Now that we have their y's, we can use the slope, aka average rate of change, formula, which is 
. Using what we have, we can solve it as such:
In short, the average rate of change from x = 0 to x = 8 is 5/21.
Option C. It’s where it’s decreasing over the entire interval.
He will need 17 inches of ribbon.
The diagonal splits the square into two right triangles. We can then use the Pythagorean theorem to find the length of the diagonal (the hypotenuse of the triangle):
12² + 12² = x²
144 + 144 = x²
288 = x²
Take the square root of both sides:
√288 = √x²
16.97 = x
17≈x
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