Many real-life problems can be analyzed from a graphical, a numerical, and an analytical perspective. In this project, you will use all three strategies to determine the maximum size
of a rectangular plot that can be enclosed by a fixed amount of fencing. You have 200
meters of fencing material to enclose a rectangular plot. Your goal is to determine the
dimensions of the plot such that you enclose the maximum area possible.
(5 points) Express the area A(z) of the rectangular plot as a function of the length x
of one side, as show in the figure below.
1
b.
(3 points) Analyze the problem numerically by completing the table.
5 10 15 20 25 30 35 40
x
0
45
50
Please show your work as to how you got your values of A(X)
C. (2 Points) According to this table, what do you think the dimensions of the plot should
be to enclose the maximum area? Explain.

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.