Solving
S = 3F - 24
for F gives
S + 24 = 3F
(S + 24)/3 = F
The best choice is the last one:
F = (S + 24)/3
Round off 8.02 to 8 and 5.98 to 6. Then subtract: 8 - 6 = 2 (approximately)
Given: y = 2x^2 - 32x + 56
1) y = 2 [ x^2 - 16x] + 56
2) y = 2 [ (x - 8)^2 - 64 ] + 56
3) y = 2 (x - 8)^2 - 128 + 56
4) y = 2 (x - 8)^2 - 72 <----------- answer
Minimum = vertex = (h,k) = (8, - 72)
=> x-ccordinate of the minimum = 8 <-------- answer
All you have to do here is multiply 230 by .5 and you get 115.
They are 115 inches apart on the map.
Hope this helped! :)