The fish market sell 16 pound of fish and 12.5 pound of lobster.
For 3 days....
option 1 : 25(3) + 0.10m = 75 + 0.10m
option 2 : 60(3) = 180
180 < 75 + 0.10m
180 - 75 < 0.10m
105 < 0.10m
105 / 0.10 < m
1050 < m.....this is minutes, we need hrs
1050/60 < m
17.5 < m.......the guest would have to spend more then 17.5 hrs
Steps:
1. calculate the values of y at x=0,1,2. using y=5-x^2
2. calculate the areas of trapezoids (Bottom+Top)/2*height
3. add the areas.
1.
x=0, y=5-0^2=5
x=1, y=5-1^2=4
x=2, y=5-2^2=1
2.
Area of trapezoid 1 = (5+4)/2*1=4.5
Area of trapezoid 2 = (4+1)/2*1=2.5
Total area of both trapezoids = (4.5+2.5) = 7
Exact area by integration:
integral of (5-x^2)dx from 0 to 2
=[5x-x^3/3] from 0 to 2
=[5(2-0)-(2^3-0^3)/3]
=10-8/3
=22/3
=7 1/3, slight greater than the estimation by trapezoids.
