A termite population was sprayed with a certain brand of insecticide, a poison
termites. After being sprayed, the number of surviving termites within the population were
counted and recorded as percentage of the total. This process was repeated until a total of six
generations of termites had been sprayed. The results are shown in the table below.
1
5%
2
10%
3
25%
4
40%
5
60%
6
80%
Which conclusion best explains the data represented above?
A. Generation I did not survive because it had several members that were old and weak.
B. Generation 5 had fewer numbers of termites surviving than Generation 2 due to a smaller
initial population
C. The population of termites decreased from generation 1 to 6 because the insecticide killed
more of the offspring
D. The survival rate of the termite population increased from generation 1 to 6 which may
be due to insecticide resistance in the termite population,

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²