The answer would be B because to have a function none of the x's can be the same, and we know that it's (x,y) so all of the first numbers are x's In the first answer choice the x's would be 0,1,3,5,&5 but the 5 is repeated so we toss that answer choice In answer choice B, the x's are 3,4,&5, so that's a maybe In C, the x's are 1,5,1,&5 so we know that's not correct because the 5's and the 1's are both repeated Last but not least, in D, the x's are 5,7,&5, the 5's are repeated so that leaves us with our answer of B. {(0,1), (1,2), (3,4), (5,6), (5,7)}
The greatest area of a polygon with a given perimeter is that of a regular polygon. A regular rectangle is one that has all sides the same length -- a square. The side length of a square with 100 ft perimeter is 25 ft. The area of a square with such a side length is
A = (25 ft)² = 625 ft²
The maximum possible area is 625 ft².
__
In the attached, x is the length of one side. The area versus side length is plotted. The maximum is seen to be 625 ft² for a side length of 25 ft.