mathematics..case 5. ...$15

Case study 5: QUESTION 1 The maximum velocity of the Magnum XL-200 roller coaster depends on the vertical drop from the top of the highest hill to the bottom of that hill. The formula Syntax error from line 1 column 49 to line 1 column 73. Unexpected ' What is the domain of the equation? Write your answer in interval notation. Explain why you excluded certain values from the domain both mathematically AND in the context of the question. QUESTION 2 What is the maximum velocity of the Magnum XL-200 roller coaster in Sandusky, Ohio, when height is approximately 203 feet? Show all work using the equation editor and label your final solution. Round your final answer to the nearest hundredth, but remember you should NOT round in the middle of the question. Write a sentence explaining your answer. QUESTION 3 What is the height of the coaster when the velocity is 90 ft/sec? Show all work using the equation editor and label your final solution. Round your final answer to the nearest hundredth, but remember you should NOT round in the middle of the question. Write a sentence explaining your answer. QUESTION 4 The airline cost for x passengers, measured in thousands of passengers, to travel round trip from New York to Atlanta is given by Syntax error from line 1 column 49 to line 1 column 73. Unexpected ' Find the airline’s cost for 10,000 passengers (remember, that would NOT be 10,000) to travel from New York to Atlanta. Use the equation editor to show all work. Write a sentence to explain your answer. QUESTION 5 If the airline charges $320 per passenger, find the profit made by the airline for flying 10,000 passengers from New York to Atlanta. Use the equation editor to show all work. Write a sentence to explain your answer. Remember: Profit = Revenue – Cost QUESTION 6 Approximate the number of passengers who traveled from New York to Atlanta if the total cost for the airline was $4 million. Use the equation editor to show all work. Write a sentence to explain your answer. QUESTION 7 A model rocket is launched straight upward from the side of a 212-ft cliff. The initial velocity is 86 ft/sec. The height of the rocket h(t) is given by: h(t) = -16^2 + 86t + 212 where h(t) is measured in feet and t is the time in seconds. Use the quadratic formula to find the times (t) at which the rocket is 320 ft. above the ground. Round your answers to the nearest hundredth of a second.