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

Answer:

$y=-1x^{2}+60x+256$

Step-by-step 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:

$y=l\times b\\y=(-x+64)(x+4)\\y=-x^{2}-4x+64x+256\\y=-1x^{2}+60x+256$.

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, $a=-1,b=60,c=256$