Renee is creating a rectangular garden in her backyard. the length of the garden is 8 feet. the perimeter of the garden must be at least 30 feet and no more than 32 feet. use a compound inequality to find the range of values for the width w of the garden.

The appropriate compound inequality is then 14 ft ≤ W ≤ 16 ft

Step-by-step explanation:

30 ft perimeter:  P = 30 ft = 2L + 2W = 2(8 ft) + 2W

Solving for W, we get:  30 ft - 16 ft = 14 ft.  The minimum width, W, is 14 ft.

32 ft perimeter:  

P = 32 ft = 2L + 2W = 2(8 ft) + 2W

Solving for W, we get:  32 ft - 16 ft = 16 ft.  The minimum width, W, is 16 ft.

The appropriate compound inequality is then 14 ft ≤ W ≤ 16 ft

Step-by-step explanation:

1.    200%A = 2A

B is 200% more than A means:

B = A + 200%A = A + 2A = 3A

2.    65%F = 0.65F

D is 65% more than F means:

D = F + 65%F = F + 0.65F = 1.65F

3.    250%T = 2.5T

Y is 250% more than T means:

Y = T + 250%T = T + 2.5T = 3.5T