Question

Help someone plz

Answer 1

Answer:

Option B

$5 \leq w \leq 25$

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

$A=L*W$

In this problem we have

$L=12\ in$

so

$A=12W$

$f(W)=12W$------> equation A

$f(W)\geq 60\ in^{2}$ ------> inequality B

$f(W)\leq 300\ in^{2}$ ------> inequality C

Substitute equation A in the inequality B

$12W\geq 60\ in^{2}$

$W\geq 60/12$

$W\geq 5\ in$

Substitute equation A in the inequality C

$12W\leq 300\ in^{2}$

$1W\leq 300/12$

$1W\leq 25\ in$

The domain for the function f(W) is equal to the interval------> $[5,25]$

Answer 2

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