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MSA 2.2 Crossing the Line.notebook
Problem 2.2: Crossing the Line
(Using Tables, Graphs, and Equations)
Learning Target:
• I can find the rate of change for a linear
relationship in a table, graph, or equation.
April 15, 2015
MSA 2.2 Crossing the Line.notebook
April 15, 2015
Problem 2.2: Crossing the Line
Let's review what we learned from Problem 2.1:
• Emile walks at a constant rate of 2.5 m/s
• Henri walks at a constant rate of 1 m/s
• Henri gets a 45 m head start
Some of us used a table, a graph, or an equation
to help us to solve the problem.
In Problem 2.2, we will create a table, graph, and equation
for each brother.
MSA 2.2 Crossing the Line.notebook
Problem 2.2: Crossing the Line
A.
April 15, 2015
(See the 2.2 Labsheet)
• Emile walks at a constant rate of 2.5 m/s
• Henri walks at a constant rate of 1 m/s
• Henri gets a 45 m head start
Make a table, graph, and equation for each brother:
45
50
55
60
65
70
75
80
85
90
0
12.5
25
37.5
50
62.5
75
87.5
100
112.5
Equations:
(Show the rate of change for each)
MSA 2.2 Crossing the Line.notebook
April 15, 2015
B.
1. How far does Emile walk in 20 seconds?
2. After 20 seconds, how far apart are the brothers?
How is this distance represented in the table and in the graph?
3. Is the point (26, 70) on either graph? How do you know?
4. When will Emile overtake Henri? Explain.
MSA 2.2 Crossing the Line.notebook
April 15, 2015
C. How can you determine which of two lines will be steeper from
1. a table of the data?
2. an equation?
MSA 2.2 Crossing the Line.notebook
April 15, 2015
D.
1. At what point do Emile's and Henri's graphs cross the y-axis?
Emile:
Henri:
2. What information do these points represent in terms of
the race?
3. How can these points be found in a table and an equation?
table:
equation:
MSA 2.2 Crossing the Line.notebook
April 15, 2015
Problem 2.2: Crossing the Line
(Using Tables, Graphs, and Equations)
Learning Target:
• I can find the rate of change for a linear
relationship in a table, graph, or equation.
Big Ah Ha:
For a linear relationship, the constant rate of change is found in a:
Table, by....
Graph, by....
Equation, by...