Fencing a horse corral carol has 2400 ft of fencing to fence in a rectangular horse corral. (a) find a function that models the area of the corral in terms of the width x of the corral. (b) find the dimensions of the rectangle that maximize the area of the corral

Here it is given that the width is x ft and total length of the fence is 2400 ft .

Let the length be y ft

So we have

Let A represents area, and area is the product of length and width .

So we get

Substituting the value of y, we will get

Second part

The area is maximum at the vertex, and vertex is

And

And that's the required dimensions .

x=half

step-by-step explanation:

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.