14 hours.
Work backwards. From travel, getting ready and sleep he needs 9.5 hours. From 11am to 10:30am is 23.5 hours. Subtracting the two you get 14 hours.
Well, your equation y=3/SQRT(3x+4) should be rationalized, but that's not what you want.
If f(x) = 3/SQRT(x+4) and g(x) = 3x
f(g(x)) then = 3/SQRT(3x+4), but rationalizing this = 3SQRT(3x+4)/(3x+4)
The area of the metal strips:
A = L * W , where L stays for length and W stays for wirth.
A = 11 ft * 2 ft ;
A = 22 ft^2.
If it costs $6 per foot:
Total cost = 22 * 6 = $132.
Answer: The total cost of a metal strip is $132.
The slope of this is 1/2.