Answer:

Step-by-step explanation:
Given
See attachment for number line
Required
Determine the model
From the attachment, we can see that each partition is 1/3
The gray rectangle covers 11 partitions.
So:


Express as a mixed number

The black rectangle covers 8 partitions
So:


Express as a mixed number

So, the model is:

Where Total is the point where the black rectangle stops

Answer:
y=5sin(16pix)+3
Step-by-step explanation:
Amp=5 means our curve is either y=5sin(bx+c)+d or y=-5sin(bx+c)+d.
y=sin(x) has period 2pi.
So y=sin(bx) has period 2pi/b.
We want 2pi/b=1/8.
Cross multiplying gives: 16pi=b
y=5sin(16pix+c)+d
d=3 since we want midline y=3.
y=5sin(16pix+c)+3
We can choose c=0 since we aren't required to have a certain phase shift.
y=5sin(16pix)+3
The answer to this i believe would be B
-2m+15=45
-2m=45-15
-2m=30
2m=-30
m=-15
The cost of the premium - $16,000 (40 x $400)
The cost of coverage - $150,000
The cost of the coverage is more