Sally and Sue met through their school's diving team. They wanted to compete to see who can dive the deepest. X is the time in seconds and Y is the depth in feet.The graph below represents Sally and Sue's diving paths underwater.
At what time and depth did Sally and Sue cross paths underwater?
Question 3
3.
Betty's dive is modeled by the equation:
Brian's dive is modeled by the equation:
X is the time in seconds and Y is the height in feet for both equations.The solutions of the system are (0,0) and (4,-8). Explain what the solutions mean in context of the problem.
A frisbee thrown from the top of the roof at a high school is modeled by the equation:
A shooting star falls from the sky nearby and is modeled by the equation:
X is the time in seconds and Y is the height in feet for both equations.
ALGEBRAICALLY, find the coordinate(s) of the point(s) where the paths intersect. You must SHOW YOUR WORK to get credit. Please make sure your final answer is marked clearly.
(5,0)
(-2,-9)
(-2,9)
(1,-12)
(2,-9)
(1,12)
(-1,-12)
(2,9)
(-1,12)
(0,15)
Sally and Sue never cross paths underwater
After 15 seconds, at a depth of 4 feet
After 3 seconds, at a depth of 15 feet
After 15 seconds, at a depth of 3 feet
After 4 seconds, at a depth of 15 feet
Betty swims up to the surface after 0 seconds and Brian swims up to the surface after 8 seconds. 0 and 4 represent the distances reached.
Brian and Betty cross paths after 0 second at a depth of 0 foot and again after 8 seconds at a depth of 4 feet.