The numbers along the x-axis and y-axis are in hundreds of feet. At 250 feet from the starting point, the track will be 20 feet below ground.
This information corresponds to the point (2.5, -0.2).
EO
1. What degree polynomial can be used to represent the portion of the roller coaster
modeled by the graph? How do you know?
10
2. What are the roots of the polynomial?
3. Write an exact equation for the polynomial that models this portion of the roller coaster.
4. What is the lowest depth of the roller coaster's tunnel? How did you find your answer?

answer: 12

step-by-step explanation:

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3