Answer:
Step-by-step explanation:
Average rate of change is the same thing as the slope. Because this is parabolic, we cannot find the exact rate of change as we could if this were a linear function. But we can use the same idea. When t = 3, h(t) = 33, so the coordinate point is (3, 33). When t = 6, h(t) = 0, so the coordinate is (6, 0). Plug those values into the slope formula:
and
which is -11
From 3 to 6 seconds, the rocket is falling 11 yards per second.
The expressions for the width, W, and area, A, of the rectangle in terms of L are:
The expression for the perimeter of a rectangle is given as:
P = 2(L + W)
where L is its length and W its width
a. Given that the perimeter of the rectangle is 13 feet, then;
13 = 2(L + W)
divide through by 2
= L + W
So that;
W = - L
The required formula for the width as a function of L is: W = - L
b. Area of a rectangle can be expressed as;
A = L * W
substitute the expression for width in that of area to have
A = L * ( - L)
= L -
A =
The expression for the area A is: A =