Question

Charlene is knitting a baby blanket. She wants its width, w, to be at least half its length, l. She estimates that she has enough yarn to put fringe around the blanket, as long as the perimeter of the blanket is no more than 180 inches. The system of inequalities shown represents the width of the blanket in inches, w, and the length in inches, l. w > l/2

2l+2w≤180

Choose the correct option:

A. w> l/2 , 2l+2w≤180

B. w<=l/2 , 2l+2w≤180

C. w > l/2 , 2l+2w>180

D. w <= l/2 , 2l+2w>180

Answer 1

The accurate system of inequalities for Charlene's baby blanket, given that the width should be at least half the length and the perimeter should not exceed 180 inches, is A. w ≥ l/2, 2l+2w ≤ 180.

Step-by-step explanation:

The correct option to represent the system of inequalities for Charlene's baby blanket, where w is the width and l is the length, is A. w > l/2 , 2l+2w ≤ 180.

Charlene wants the width to be at least half its length, which means the width should be greater than or equal to half the length, thus w ≥ l/2 (there is a typographical error in the options provided; it should be greater than or equal to, not just greater than). Additionally, she estimates she has enough yarn for the fringe if the perimeter is no more than 180 inches, which translates to the total perimeter being less than or equal to 180 inches. Therefore, the system of inequalities is correctly written as w ≥ l/2 and 2l + 2w ≤ 180.