4. Landon is standing in a hole that is 6.5 m deep. He throws a rock, and it goes up into the air, out of the hole, and then lands on the ground above. The path of the rock can be modeled by the equation y =–0.05x² + 4.5x – 6.5, where x is the horizontal distance of the rock, in meters, from Landon and y is the height, in meters, of the rock above the ground. How far horizontally from Landon will the rock land? Round your answer to the nearest hundredth of a meter.

18.07 m
35.96 m
9.04 m
71.93 m

Question

4.   Landon is standing in a hole that is 6.5 m deep. He throws a rock, and it goes up into the air, out of the hole, and then lands on the ground above. The path of the rock can be modeled by the equation y =–0.05x² + 4.5x – 6.5, where x is the horizontal distance of the rock, in meters, from Landon and y is the height, in meters, of the rock above the ground. How far horizontally from Landon will the rock land? Round your answer to the nearest hundredth of a meter. 



18.07 m
35.96 m
9.04 m
71.93 m

anonymous · Answer

@wio

anonymous · Answer

@Mertsj

mertsj · Answer

y is the height of the rock.  The hole is 6.5 m deep.  Find x when y is 6.5

mertsj · Answer

Then find the x coordinate of the vertex which is the distance from Landon the rock is at it's high point.  Then add the distance it had traveled (horizontally) when it left the hole.  That will be the distance (horizontal) it was from Landon when it landed.

anonymous · Answer

ok

mertsj · Answer

Did you find that at its high point it has traveled 45 feet horizontally?

anonymous · Answer

yup

mertsj · Answer

So you can quit because we know it traveled at least 45 m from him and the only answer bigger than 45 is the last one.