Question

Henry uses the function g(n)=5n^2 to determine the area ,in the square feet of thesecond garden.•The garden will be n feetwide.•The garden will be createdinside a square with sidelengths of 100 feet.•Each side of the garden willbe parallel to a side of thesquare.Based on These constraintsand the function g, what is thelargest possible area that thegarden can have ?

Answer 1

The function used to determine the area of the second garden is expressed as

g(n) = 5n^2

where n represents the width of the second garden

The garden is inside a square whose length is 100. Recall, all sides of a square are equal. If the sides of the garden are parallel to the sides of the square, then the maximum length of each side of the garden is 100

To find the largest possible area of the second garden, we would substitute n = 100 into the function. We have

g(100) = 5(100)^2 = 5 x 10000 = 50000

Option D