This math problem is from Pre-Calculus 1st quarter.  Suppose that cities X and Y are exactly 812.5 miles apart. On a certain day, Anne leaves from city X traveling at a rate of 70 mph towards city Y. At the same time, and taking the same route, Bob leaves city Y traveling at a rate of 55 mph towards city X. How far from city Y will Anne and Bob pass each other?  a) Write an equation to help you solve this problem. You may use variables d for distance or t for time.

A classic physics problem states that if a projectile is shot vertically up into the air with an initial velocity of 155 feet per second from an initial height of 59 feet off the ground, then the height of the projectile, h, in feet, t seconds after it's shot is given by the equation: h=-16t2 + 155t +59 Find the two points in time when the object is 95 feet above the ground. Round your answers to the nearest hundredth of a second (two decimal places). Answer: The object is 95 feet off the ground at the following times: Enter your two answers separated by a comma.

While painting his house one day, Mr. Cabana had a terrible accident! The bottom of the 20-foot ladder he was standing on started to slide away from the wall! a. Draw a diagram of this situation. Then write an equation that relates the sides of that shape in your diagram. b. Mr. Cabana wants to know how fast he is falling when the ladder is 10 feet above the ground. You need to help him solve this problem, but the equation you wrote in part (a) does not involve rates. What Calculus tools can you use to convert the equation in part (a) to a rate equation? c. Explain why the rate the ladder is sliding down the wall must be related to the rate that the foot of the ladder moving along the ground.

5) Write an equation that models the following problem. Then use your equation to solve the problem. A point D on Denmark's largest island is 2.4 miles away from the nearest point S on the coast of Sweden (assume the coast is straight, which is nearly the case). A person in a motorboat travels straight from D to a point on the beach r miles from S, and then travels r miles farther along the beach away from S. Find r if the person traveled a total of 4.5 miles. 2.4 mi D

The current population of a small city is 48000 people. Due to a loss of jobs, the population is decreasing by an average of 450 people per year. How many years (from now) will it take for the population to decrease to 44850 people? A) Write an equation you can use to answer this question. Be sure all the numbers given above appear in your equation. Use z as your variable and use no commas in your equation. The equation is B) Solve your equation in part [A] for z. Preview Answer: E