Someone plz
a student needs to make a rectangular cardboard piece that is 12 inches long. the area of the cardboard piece should be between 60 square inches to 300 square inches. the function f(w) relates the area of the cardboard, in square inches, to the width w in inches. which of the following shows a reasonable domain for f(w)?
a: 2 ≤ w ≤ 5
b: 5 ≤ w ≤ 25
c: 25 ≤ w ≤ 60
d: 60 ≤ w ≤ 300

area = L x w

60 = 12 x w

w=60/12 = 5

300 = 12 x w

w = 300/12 = 25

so B is the correct answer

Option B

Step-by-step explanation:

Let

L------> the long of the cardboard piece

W-----> the width of the cardboard piece

The area of cardboard piece is equal to

In this problem we have

so

------> equation A

------> inequality B

------> inequality C

Substitute equation A in the inequality B

Substitute equation A in the inequality C

The domain for the function f(W) is equal to the interval------>

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.