Answer:
First, we need to know the formula when a scale factor appears:
New coordinate = (scale factor)*(old coordinate)
So using this formula we have:
1) c' = (-2,1)*2/3
c' = (-4/3,2/3)
2) r = (-5,2)*2/3
r = (-10/3,4/3)
3) a = (-6,7)*2/3
a = (-4,14/3)
4) f = (-3,9)*2/3
f = (-2,6)
5) t = (-1,6)*2/3
t = (-2/3,4)
For a better understanding of the explanation provided here kindly go through the file attached.
Since, the weight attached is already at the lowest point at time, t=0, therefore, the equation will have a -9 as it's "amplitude" and it will be a Cosine function. This is because in cosine function, the function has the value of the amplitude at t=0.
Now, we know that the total angle in radians covered by a cosine in a given period is
and the period given in the question is t=3 seconds. Therefore, the angular velocity,
of the mentioned system will be:

Combining all the above information, we see that the equation which models the distance, d, of the weight from its equilibrium after t seconds will be:

Thus, Option B is the correct option. The attached diagram is the graph of the option B and we can see clearly that at t=3, the weight indeed returns to it's original position.
Hello There!
If it is unit rates you are trying to find, this is what you do:
5.50/10 = 0.55
1 red pepper is $0.55
Hope This Helps You!
Good Luck :)
- Hannah ❤