4.2+Changing+Speeds


 * SK**
 * Sep-16-08**
 * Big Question**: Observation and description of changes in the world around us are the first steps in finding and learning about patterns.
 * Essential Question**: How can I use graphs, tables and symbols to solve problems?

__//**Problem 4.2 and F/U**//__

A**-**Q **Make tables of time and distance data, similar to the table you made for Problem 4.1, for travel at 50 miles per hour and 65 miles per hour.**
 * Time (hrs) || Distance (Miles) ||
 * 1 || 50 ||
 * 2 || 100 ||
 * 3 || 150 ||
 * 4 || 200 ||
 * 5 || 250 ||
 * 6 || 300 ||
 * 7 || 350 ||
 * 8 || 400 ||
 * 9 || 450 ||
 * 10 || 500 ||
 * Time (hrs) || Distance (mi) ||
 * 1 || 65 ||
 * 2 || 130 ||
 * 3 || 195 ||
 * 4 || 260 ||
 * 5 || 325 ||
 * 6 || 390 ||
 * 7 || 455 ||
 * 8 || 520 ||
 * 9 || 585 ||
 * 10 || 650 ||
 * Plot the data from both tables one coordinate graph. Use different colors for each set of data. Using a third color, add data points for the times and distances raveled at 55 mile per hour.

**

B-Q. **How are the tables for the three speeds similar? How are they different?** B-A. Similar-All three of the speeds increase by the same method. Difference-65 mph increases much faster than the others. C-Q. **How are the graphs are for the three speeds similar and how are the different?** C-A. The points for all three of the speeds are going in the same direction. But 55 mile's points are above 50 miles and 65 mile's points are above 55 miles. D1-Q. **Look at the table and graph for 65 miles per hour. What pattern of change in the data helps you calculate the distance for any given time? In words write a rule that explains how to calculate the distance traveled for any given time.** D1-A. First you look at the graph then you make a point close to the exact place. The rule is that you have to multiply the time with the speed then you will get your distance. D2-Q. **Use symbols to write your rule as an equation**. D2-A. time x speed=distance, txs=d, ts=d E-Q. **Now write a rule, in word, that explain how to calculate the distance traveled for any given time when the speed is 50 mile per hour.** E-A. You do the same thing over here as well you multiply the time with the speed to get the distance. F-Q. **How are the rules for calculating distance for the three speeds similar? How are they different?** F-A. All three of the numbers use the same method. They are different because they are using different numbers. ** Problem 4.2 Follow-up ** 1-Q. **After arriving in** ** Philadelphia ** **, Malcome took the interest home. He wrote the equation d=60t to represent his home. Explain this equation in words. **    1-A. Multiply the number of miles with the time given. 2-Q**. How long would it take to reach Philadelphia-310 miles from Williamsburg-traveling at 50 miles per hour? 60 miles per hour? 65 miles per hour?** 2-A. 50miles-6hrs 13min 60miles-5hrs 4min 65miles-4hrs 40min