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Answer:
The average rate of change is -3.
Step-by-step explanation:
We are given the function:
And we want to find the average rate of change from <em>x </em>= 0 to <em>x </em>= 3.
In other words, we will compute the function at the two endpoints, and then find the slope of the line that crosses the two points.
For our first endpoint at <em>x</em> = 0, our function evaluates to:
So, our first point is (0, 9).
For our second endpoint at <em>x</em> = 3, our function evaluates to :
So, our second point is (3, 0).
Then by the slope formula, our average rate of change will be:
To solve this problem you must apply the proccedure shown below:
1. The formula for calculate the perimeter of a rectangle is:
Where is the length and
is the width.
2. The length is more than the width, therefore:
3. Substitute values into the formula for calculate the perimeter and solve for the width:
3. Then, the length is:
The answer is: The length is and the width is