2.2+Day+2+Atlantic+City+to+Lewes

Emmanuel Dessallien Block C September 13 2008

2.2 AND FOLLOW UP

A. Make a coordinate graph of the (time, distance) data given in the table.



B. Sidney wants to write a report describing day 2 of the tour. Using information from the table or the graph what could she write about the day's travel? Be sure to consider the following questions:
 * How far did the group travel in the day? How long did it take them?
 * During which time interval(s) did the riders make the most progress? The least progress?
 * Did the riders go furthest in the first half or the second half of the day's ride?

ANSWER: The group traveled 0-45 miles and it took them 5 hours. The most they traveled per half hour was from 0.0-0.5. The least they traveled per half hour was from 3.5-4.0-4.5. The riders traveled most during the first half of the trip (probably because they had a long break in the second half of the trip).

C. By analyzing the table, how can you find the time intervals when the riders made the most progress? Least progress? How can you find these intervals by analyzing the graph?

ANSWER: On the table you find the 2 numbers next to each other and you subtract them and then you will have how much it was (you have to do this with all the numbers and then you compare them). On the graph you look for the point that goes very far to the left from the point right behind it.

D. Sidney wants to include either the graph or the table in her report. which do you think she should include? Why?

ANSWER: I think that Sidney should include the table in her report because even though it takes more time to find the intervals, the numbers are excact and easy to read.

FOLLOW UP

1. Look at the second point on your graph as you count to the left. We can describe this point with the coordinate pair (0.5, 8) the first number in a coordinate pair is the value for the x-coordinate, and the second number is the value for the y-coordinate. Give the coordinate pair for the third point on your graph. What information does this give you?

The coordinate pair for the third point on the graph is (1,15). This point gives you the information of the interval of the second point to itself, itself to the fourth point and its data.

2. Connecting the points on a graph sometimes helps you see a pattern more clearly. You can connect the points in a situation in which it makes sense to consider what is happening in the 2 intervals between the points. The points on the graph of the data for day 2 can be connected because the riders were moving during each half hour interval, so the distance was changing. a. Connect the points on your graph with straight line segments.

b. How could you use the line segments to help you estimate the distance traveled after 3/4 of an hour (0.75 hours)?

You could use the line segments to find 3/4 of an hour (0.75 hours) by cutting the line segments up into 4 equal pieces.

3. The straight line segment you drew from (4.5, 40) to (5.0, 45) gives you some idea of how the ride might have gone between the points. It shows you how the ride would have progressed if the riders had traveled at a steady rate for the entire half hour. The actual pace of the group, and of the individual riders, may have varied throughout the half hour. These paths show some possible ways the ride may have progressed:

i                                    ii                             iii                              iv Match each of these connecting paths with the following travel notes.

a. Celia rode slowly at the first and gradually increased her speed.

ii

b. Tony and Liz rode very quickly and reached the campsite early.

iv

c. Malcolm had to fix a flat tire, so he started late.

iii

d. Theo started off fast. After a while, he felt tired and slowed down.

i