A farmer wants to increase the area of his rectangular pen but keep the pen a rectangular shape. He decides to add 2 1/2 feet of fencing to the width of the pen, but the length will remain 9 1/4 feet. The new area will be 108 3/4 square feet. Which equation can be used to determine the original width, w, of the pen?

9 1/4(w+2 1/2)=108 3/4

9 1/4w+2 1/2=108 3/4

2 1/2(w+9 1/4)=108 3/4

2 1/2w+9 1/4=108 3/4

91/4(w+21/2)=108 3/4

Step-by-step explanation:

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3