Thursday Warm Up Your car averages 34 miles per gallon of gas on the highway. If gas costs $2.79 per gallon, how much does it cost in dollars per mile.

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Presentation transcript:

Thursday Warm Up Your car averages 34 miles per gallon of gas on the highway. If gas costs $2.79 per gallon, how much does it cost in dollars per mile to drive your car on the highway?

Thursday Warm Up

Averages and Motion Problems Objective: By the end of today’s lesson, you will be able to use proportions to solve various real world problems involving averages and uniform motion.

Averages and Motion Problems Example 1: Mark’s grades for the first three marking periods are 75, 82 and 90. What does he need to get in the fourth marking period to obtain an overall average of 85?

Averages and Motion Problems

Averages and Motion Problems Mark needs a 93 in the fourth marking period.

Averages and Motion Problems Example 2: On the first day of a two day trip, Ace traveled 120 miles. The next day he traveled for the same amount of time, but 10 mph faster than he did first day, and as a result, he traveled 160 on the second day. What was his rate of speed on the second day?

Averages and Motion Problems

Averages and Motion Problems

Averages and Motion Problems

Averages and Motion Problems Ace drove 30 mph on the first day and 40 mph on the second day.

Averages and Motion Problems Example 3: The total of all the grades on Bill’s first four tests was 350. What does he need to get on his fifth test to obtain a 90 average for the 5 tests?

Averages and Motion Problems Example 4: The speed of a passenger train is 20 mph faster than the speed of a freight train. The passenger train can make a 160 mile trip in half the time it takes a freight train. What is the speed of each train?

Averages and Motion Problems

Averages and Motion Problems

Averages and Motion Problems

Averages and Motion Problems

Averages and Motion Problems The passenger train can make the trip in half the time as the freight train

Averages and Motion Problems

Averages and Motion Problems The freight train’s speed is 20 mph and the passenger train’s speed is 40 mph

Homework Work on the Averages and Motion worksheet.