Instructions: For the following real-world problem, solve using any method. Use what you’ve learned to determine which method would be best. Put your answer in the context of the problem and determine the appropriate final answer.Jessica is practicing her dives off the diving board. When she dives into the water, the path her body makes and where she resurfaces can be modeled by the equation 0=x2−6x0=𝑥2−6𝑥 where x𝑥 is the number of horizontal feet she travels. Solve the equation to find the number of feet she will travel before coming back to the surface of the water.The two solutions to the equation are: x=𝑥= or Which of your solutions gives the horizontal distance Jessica has traveled when she returns to the surface? x=𝑥= feet

A diver needs to descend to a depth of 100 feet. She wants to do it in 5 equal descents.(i) Use the number line to find how far the diver should travel in each of the 5 descents.(ii) To solve this problem, you can set up a division problem: _____.

Instructions: For the following real-world problem, solve using any method. Use what you’ve learned to determine which method would be best. Put your answer in the context of the problem and determine the appropriate final answer.Laura is throwing a tennis ball to her dog. The trajectory of the ball and where it hits the ground can be modeled by the equation −x2+121=0−𝑥2+121=0 where x𝑥 is the number of feet from Jackie the ball is.The two solutions to the equation are: x=𝑥= or In the context of this problem, which solution makes sense as the distance from Laura where the ball lands? x=𝑥= feetCheckQuestion 18

A free-diver is training to dive deeper. They can currently dive to −12m⁡−12m. After 66 months they can dive 44 times deeper. Choose two equations that represent this scenario, where 𝑥x is the new depth the diver can reach.𝑥=4×−12x=4×−12𝑥=−124x= 4−12​ 𝑥4=−124x​ =−124𝑥=−124x=−12

Larissa dives into a pool that is 8 feet deep. She touches the bottom of the pool with her hands 6 feet horizontally from the point at which she entered the water. What is the approximate angle of elevation from the point on the bottom of the pool where she touched to her entry point?

ProblemSuppose Jeremiah is a diver for his summer swim team. The function h(x)=−4.9x2+8x+5ℎ(𝑥)=−4.9𝑥2+8𝑥+5 represents Jeremiah's height (hℎ) in meters above the water x𝑥 seconds after he leaves the diving board.What is the initial height of the diving board?At what time did Jeremiah reach his maximum height?What was Jeremiah’s maximum height?Sketch a graph of the function. (You can use your calculator for this or create a table of values.) SolutionThe initial height of the diving board is when the time is zero.h(0)=−4.9x2+8x+5ℎ(0)=−4.9𝑥2+8𝑥+5h(0)=−4.9(0)2+8(0)+5ℎ(0)=−4.9(0)2+8(0)+5h(0)=0+0+5ℎ(0)=0+0+5h(0)=5ℎ(0)=5The initial height of the diving board is 55 m.The time at which Jeremiah reaches his maximum height is the x𝑥-coordinate of the vertex.x=−b2a𝑥=−𝑏2𝑎x=𝑥=2(2( ))x=−8−9.8𝑥=−8−9.8x=0.82𝑥=0.82 secIt took Jeremiah seconds to reach his maximum height.The maximum height was reached Jeremiah at seconds. The maximum height is the y𝑦-coordinate of the vertex.h(t)=−4.9x2+8x+5ℎ(𝑡)=−4.9𝑥2+8𝑥+5h(0.82)=−4.9(0.82)2+8(0.82)+5ℎ(0.82)=−4.9(0.82)2+8(0.82)+5h(0.82)=−3.29+6.56+5ℎ(0.82)=−3.29+6.56+5h(0.82)=8.27ℎ(0.82)=8.27 mThe maximum height reached by Jeremiah was m.CheckQuestion 8