4.2+Changing+Speeds

Sep,19 08 Block E MT

Big Idea: Observation and description of changes in the world around us INV 4 Essential Question: How can I use graphs, tables and symbols to solve problems? are the first steps in finding and learning about patterns.

__**4.2 Changing speeds**__

//A.Make a table of time and distance data, similar to table you made for Problem 4.1, for travel at 50 miles per hour and 65 miles per hour.//**
 * __Problem 4.2__

//**Plot the data from both tables on one coordinate grid. Use different color for each set of data. Using a third color, add points for the times and the distances traveled at 55 miles per hour (from problem 4.1).**// First of all they are similar because each table's distance increases by the number of miles travelled per hour each time and they all show the results for how much the distance increases per hour.What maks them different is that they all increase by different numbers for example in 4.1 the distance increases by 55miles each time and in 4.2 in the first column of the table the distance increases by 50miles each time.
 * Time(hours) || Distance(miles)travelede per 50miles/hr || Distance(miles) traveled per 65miles/hr ||
 * < 0 || 0 || 0 ||
 * < 1 || 50 || 65 ||
 * < 2 || 100 || 130 ||
 * < 3 || 150 || 195 ||
 * < 4 || 200 || 260 ||
 * < 5 || 250 || 325 ||
 * < 6 || 300 || 390 ||
 * < 7 || 350 || 455 ||
 * < 8 || 400 || 520 ||
 * < 9 || 450 || 585 ||
 * < 10 || 500 || 650 ||
 * //B. How are the tables for the three speeds similar? How are they different?//**

//**C. How are the graphs for the three speeds similar? How are they different?**// One of the similarities they have is that as the more hours pass by the more the speed increases and this shows a straight steady line,on the graph. What makes them different is that they all increase by a different amount of miles.

//**D. 1.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.**// Each hour the distance goes up by 65 miles. So to find the distance travelled you just times the amount of miles travellede per hour(which is 65) by the number the amount of time. For example if I wanted to now what my distance was after traveling for 6 hours I would times 65 by 6 to get the total 390 miles. //**2.**//D=65T

To find the distance for any given time when going at 50 miles per hour all you need to do is times the time by 50 and this will give you the distance//.// For example kelly has been riding her bike for 7hours at 50miles per hour she wants to find out her distance. To do this all she needs to do is times 7 by 50 which gives her the total of 350 miles. //**2.**// D=50T
 * //E. 1. Now write a rule, in words, that explains how to calculate the distance traveled for any given time when the speed is 50 miles per hour.//**

//**F. How are the rules for calculating distance for the three speeds similar? How are they different?**// They are all quite similar because in each rule you need to times the amount of time traveled by the number of miles traveled per hour. The only difference is the amount of miles travelled per hour.

__**Problem 4.2 Follow-Up**__ To find the distance you times the time by the amount of miles per hour which in this case is 60. //**2.How long would it take to reach Philadelphia-310miles from Williamsburg- traveling at 50 miles per hour?**// 310 divided by 50 equals 6.2 so it will take roughly 6hrs and 12.5 mins to get to philadelphia.
 * //1. After arriving in Philadelphia, Malcom took the interstate home. He wrote the equation d=60t to represent his trip home. Explain this equation in words.//**
 * //60 miles per hour?//** 310 divided by 60 =5.166666667 so it will take about 5 hours and a couple of minutes to reach Philadelphia.
 * //65 miles per hour?//** 310 divided by 65= 4.769230769 so it will take about 4 hours and a couple of minutes to reach Philadelphia.