Answer:
i strongly believe the answer is (c)
Step-by-step explanation:
Answer:
Overall rectangle: 100 ft × 8 16/23 ft ≈ 100 ft × 8.696 ft
Individual pen: 8 16/23 ft × 4 6/11 ft ≈ 8.696 ft × 4.545 ft
Step-by-step explanation:
Half the fence will be used in each of the orthogonal directions to make the pen. That is, the long side of the overall rectangle will be (400 ft/2)/2 = 100 ft. The short side of the overall rectangle will be (400 ft/2)/23 = 8 16/23 ft. (There are 21 partitions between the 22 pens, and 2 end fences, for a total of 23 fence segments of the short length.)
The long (100 ft) side of the overall rectangle is divided into 22 parts by the internal partitions, so each pen will have a short dimension of 100 ft/22 = 4 6/11 ft.
_____
We know half the fence will be used in each direction because we know the total area is a quadratic function of the side length. If the long side of the overall pen is x, then the short side is (400 ft -2x)/23, and the overall area is ...
... A = x(400 ft -2x)/23
The vertex of this quadratic function is halfway between the zeros, at x = 100 ft. That is, the two long sides of the pen total 200 ft, or half the overall length of fence.
Answer:
16443
Step-by-step explanation:
a = 7676 - b
b = -8767
then:
a = 7676 - (-8767)
a = 7676 + 8767
a = 16443
Check:
16443 -8767 = 7676
We have to triple Autumn's earning for each basket, so the table would be
We expect an equation like
where 
is the initial value, and 
is the multiplier. Since we start with 2$, and we triple the amount with each basket, we have
This relation is exponential, because every time a new basket is made, the previous amount is multiplied by a constant. In other words, we have
For the graph, you just need to sketch the points from the table we draw above and connect them
