Jacob wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn,so he needs no fence on that side.
Let w be the width of the enclosure (perpendicular to the barn) and let l be the length of the enclosure (parallel to the barn).
one side of the length is not counted for perimeter because one side of length will be against the barn.
Perimeter = 400 ft
Perimeter of rectangle = L + W + W
400 = L + 2W
L = 400 - 2W
Area = L * W
Replace L by 400 - 2W
A(W) = (400 - 2W) * W
Now we find out x coordinate of vertex to find the width that maximize the area
a= -2 and b = 400
The width w would maximize the area is w = 100ft
To find maximum area we plug in 100 for W in A(W)
the maximum area is 20,000 square feet
We need the graphing tool.
Answer:
60ft
Step-by-step explanation:
h x 20 = 120
h=120/20
h=60
Answer:
The most tickets were written on Saturday .On Saturday 325 tickets were issued
Step-by-step explanation:
The average number of traffic tickets issued in a city on any given day Sunday-Saturday can be approximated by
Where x represents the number of days after Sunday
T(x) represents the number of traffic tickets issued.
Sunday = x=0
Monday = x=1
Tuesday = x=2
Wednesday = x=3
Thursday = x =4
Friday = x=5
Saturday = x=6
Substitute x= 0
On Sunday 37 tickets were issued
Substitute x= 1
On Monday 115 tickets were issued
Substitute x= 2
On Tuesday 181 tickets were issued
Substitute x= 3
On Wednesday 235 tickets were issued
Substitute x= 4
On Thursday 277 tickets were issued
Substitute x= 5
On Friday 307 tickets were issued
Substitute x= 6
On Saturday 325 tickets were issued
Hence the most tickets were written on Saturday .On Saturday 325 tickets were issued
