Wilson cuts rectangular mats for picture frames. The area of the mat before it is cut is represented by the function M(x) = 4.5x^2 + 17x + 16. The area that is cut out and removed from the middle of the mat is represented by the function N(x) = x^2 + 6x. If x is the width of the portion of the mat that is cut out, which function best describes A(x), the area of the cut mat?

step-by-step explanation:

you probably already have the answer but anyways it's b. 15.0

step-by-step explanation:

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.