Answer:
Because X and Y vary directly, the equation is the form Y =KX. We can then solve for K by using the given values for X and Y. The equation that relates X and Y is Y= 5x
200-(-2) is actually 200-1(-2)
So thats multiplication
Then its 200+2
So addition is the last calculation to be done.
Answer:
The boat is approaching the dock at rate of 2.14 ft/s
Step-by-step explanation:
The situation given in the question can be modeled as a triangle, please refer to the attached diagram.
A rope attached to the bow of the boat is drawn in over a pulley that stands on a post on the end of the dock that is 5 feet higher than the bow that means x = 5 ft.
The length of rope from bow to pulley is 13 feet that means y = 13 ft.
We know that Pythagorean theorem is given by

Differentiating the above equation with respect to time yields,


dx/dt = 0 since dock height doesn't change


The rope is being pulled in at a rate of 2 feet per second that is dz/dt = 2 ft/s
First we need to find z
z² = (5)² + (13)²
z² = 194
z = √194
z = 13.93 ft
So,



Therefore, the boat is approaching the dock at rate of 2.14 ft/s
The multiplier you would use to find the new value would be 0.4.
The reason for this is that 100%-60% =40%. This is the part of the value it will keep. 40% is the same as 0.4.
This decimal represents the part of the original price that is it still worth.
The multiplier is 0.4 because that it what you would multiply $80 by to find the new value.