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## 1.5 Problem Solving

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**Word Problems**• Steps: 1. Declare your variables/verbal model 2. Write an equation 3. Solve 4. Answer questions—check answer to make sure it makes sense**Ex 1: Solve each word problem**a) The Acela train travels between Boston and Washington, a distance of 457 miles. The trip takes 6.5 hours. What is the average speed?**Ex 1: Solve each word problem**b) You have $120 to purchase juice for a party. Each case of 24 bottles costs $5.99. assuming there is no sales tax, how many cases can you purchase?**Ex 1: Solve each word problem**c) You need to do an experiment at home for your science class and write a lab report on your findings. The experiment involves trials that take 5 minutes each to perform. You want to watch a basketball game that starts in 1 ½ hours. If it takes about 30 minutes to write the lab report, how many trials can you perform before the game starts?**Ex 1: Solve each word problem**d) A paramotor is a parachute propelled by a fan-like motor. The table shows the height h of a paramotorist t minutes after beginning a descent. Find the height of the paramotorist after 7 minutes**Ex 1: Solve each word problem**e) You are hanging four championship banners on a wall in your school’s gym. The banners are 8 feet wide. The wall is 62 feet long. There should be an equal amount of space between the ends of the wall and the banners, and between each pair of banners. How far apart should the banners be placed?