Answer:
When we have a rectangle of length L and width W, the area is calculated as:
A = W*L
In this case, W = x, and the area is:
A = 2*x
Then we must have L = 2.
We know that the area of the window and the frame (together) is:
a = 2*x^2 + 12*x + 16
The area of the frame alone, will be equal to the difference between the area of both objects (a) and the area of the window alone (A)
area of the frame = a - A
= (2*x^2 + 12*x + 16) - (2*x) = (2*x^2 + 10*x + 16)
This is the area of the frame
From the graph, when x = 1, y = 57,000.
Replace x with 1 in the equations and see if any of the Y 's equal 57,000 :
y = -2610.82(1) + 47860.82 = 45,250
y = 219(1)^2 - 6,506.78(1) + 59,385 = 219 - 6506.78 + 59385 = 53,097.22
y = 54041.5(0.9)^1 = 48,637.35
y = 10,504.6 (1.1)^1 = 11,555.06
The second equation is the closest. so try another x value to see if it is close to the Y value:
Let's try x = 14:
y = 219(14)^2 - 6506.78(14) + 59,385 = 42924 - 91094.92 + 59385 = 11,214.08
This is close to Y = 12,00 shown on the graph
SO the closest equitation is y = 219x^2 - 6506.78x + 59385
Well 58 inches is 4 feet, so Amanda has to purchase 2 yards of fabric. So this brings her to $90. If you multiply 90 by 40%, and then subtract that number from 90, you have 54. Multipy 54 by the sales tax and then add that number to 54. So Amanda will have to pay $56.75. Hope this helps, have a nice day :)
C. because her distance from home is decreasing
285*0.078=22.23
22.23+285=307.23
It Costs $307.23
