Answer:
Yes It Does
Step-by-step explanation:
The Equation DOES represent 4 + (-7) + 5 Which = 2 The arrows represent this process from down to up.
Hope it helps!
Each colection day: D
Number of tops collected on that day: N
D1=1; N1=2
D2=3; N2=8
1) Linear model
N-N1=m(D-D1)
m=(N2-N1)/(D2-D1)
m=(8-2)/(3-1)
m=(6)/(2)
m=3
N-N1=m(D-D1)
N-2=3(D-1)
N-2=3D-3
N-2+2=3D-3+2
N=3D-1
when D=6:
N=3(6)-1
N=18-1
N=17
<span>What is the number of tops collected on the sixth day based on the linear model?
</span>The number of tops collected on the sixth day based on the linear model is 17.
2) Exponential model
N=a(b)^D
D=D1=1→N=N1=2→2=a(b)^1→2=ab→ab=2 (1)
D=D2=3→N=N2=8→8=a(b)^3→8=a(b)^(1+2)
8=a(b)^1(b)^2→8=ab(b)^2 (2)
Replacing (1) in (2)
(2) 8=2(b)^2
Solving for b:
8/2=2(b)^2/2
4=(b)^2
sqrt(4)=sqrt( b)^2 )
2=b
b=2
Replacing b=2 in (1)
(1) ab=2
a(2)=2
Solving for a:
a(2)/2=2/2
a=1
Then, the exponential model is N=1(2)^D
N=(2)^D
When D=6:
N=(2)^6
N=64
<span>What is the number of tops collected on the sixth day based on the exponential model?
</span><span>The number of tops collected on the sixth day based on the exponential model is 64</span>
Answer:
1. In order for Pattern B to be linear, the common difference of the number of dots between each step should be constant. As it is not constant, the pattern is not linear.
2. In order for Pattern B to be exponential, the common ratio of the number of dots between each step should be constant. As it is not constant, the pattern is not exponential.
3. In order for Pattern B to be quadratic, its sequence of second differences must be constant.
First differences:
Second differences:
Therefore, as the sequence of second difference is constant, the patten is quadratic.
The function for pattern B is: 
(where x is the step number)
Answer:
2275
Step-by-step explanation:
9100/4 = 2275
this is why you don't go to college, you get boatloads of debt
Answer:15.741
Step-by-step explanation: 4.95*3= 14.85, 14.85* 0.06= 0.891+14.85=15.741
Hope it helped!
