The GCF is 6
6x4=24 and 6x27=162
<u>Answer-</u>
2, 4, and 8 people will need 1, 2, 4 pounds of turkey respectively.
<u>Solution-</u>
Given in the question, number of pounds of turkey varies directly with the number of people, i.e as the number of people increases or decreases, the pound of turkey also increases or decreases.
Taking,
x = number of people,
y = pounds of turkey.
This condition can be represented as,

As given in the question, when x = 6 y = 3


Now, putting the values of k in the equation, the equation becomes

Now, we can get the values of y or number of pounds of turkey needed by putting the given x or number of people.
All the calculations are shown in the attached table.
2)
P(4,-4) -->(-4, 7)
4 - 8 = -4 -------->left 8
-4 + 11 = 7 -------->up 11
Answer: left 8; up 11
3)
C(3,-1) , left 4 up 1
3 - 4 = -1 -------->left 4
-1 + 1 = 0 -------->up 1
a)
(x , y) -->(x - 4 , y +1)
C(3, -1) -->C'(-1 , 0)
b)
(x , y) --> (x - 4, y + 1); (-1 , 0)
Take derivitive
note
the derivitive of sec(x)=sec(x)tan(x)
so
remember the quotient rule
the derivitive of

so
the derivitive of
so now evaluate when t=pi
we get
sec(pi)=-1
tan(pi)=0
we get

slope=1/pi
use slope point form
for
slope=m and point is (x1,y1)
equation is
y-y1=m(x-x1)
slope is 1/pi
point is (pi,1/pi)
y-1/π=1/π(x-π)
times both sides by π
πy-1=x-π
πy=x-π+1
y=(1/π)x-1+(1/π)
or, alternately
-(1/π)x+y=(1/π)-1
x-πy=π-1
We can say that ‘0’ is also a rational number since it can represent it in many forms of 0/1, 0/2, 0/3, etc. So yea it is hope this helped!