Question

Please help!! Use the expressions that represent the length and width of the game board to write an equation that

models the area of the figure. Let y represent the area, and write your answer in the form y = ax? + bx +
C, where a, b, and care real numbers.

Answer 1

`y=-1x^(2)+60x+256`

Explanation:

Given:

The length of the game board,
`l=-x+64`

The width of the game board,
`b=x+4`

So, area of the game board is given as:

`y=l* b\\y=(-x+64)(x+4)\\y=-x^(2)-4x+64x+256\\y=-1x^(2)+60x+256`.

Therefore, the area of the game board can be expression in the form
`y=ax^(2)+bx +c` as
`y=-1x^(2)+60x+254`, where,
`a=-1,b=60,c=256`