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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.

Published byMarjory Rachel Wilkerson Modified over 5 years ago

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Presentation on theme: "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."— Presentation transcript:

1 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?

2 Thursday Warm Up

3 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.

4 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?

5 Averages and Motion Problems

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

7 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?

8 Averages and Motion Problems

9 Averages and Motion Problems

10 Averages and Motion Problems

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

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

13 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?

14 Averages and Motion Problems

15 Averages and Motion Problems

16 Averages and Motion Problems

17 Averages and Motion Problems

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

19 Averages and Motion Problems

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

21 Homework Work on the Averages and Motion worksheet.

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