Answer:
a) f(x) = 6x^2 - 4x
b) 80 ft²
Step-by-step explanation:
Refer to attached for full question
a.
Area formula for rectangle:
We see the width of the white part of the banner is 3x - 2 and height is 2x
Function to define the area
- f(x) = (3x - 2)*2x = 6x^2 - 4x
b.
If maximum width of white area is 10 ft, then the dimensions are:
- 3x - 2 = 10 ⇒ 3x = 12 ⇒ x = 4
- w = 10, h = 2*4 = 8
- A= 10*8 = 80 ft²
