Slope and Intercept Practice- Reg
Name___________________ Period_____
Step 1: Observe
Look at the graph on the bottom of this page.
Be silent and stare at this image for at least one minute. Try to notice something different every few seconds.
Step 2: Describe
Be sure to describe what you see. Don’t name it.
My eyes see…
How could you relate this graphic to what we have been learning about in class?
Part A- In Context
Interpret slope & y-intercept
1.)
Using the graph above, what does the y-intercept represent in
the context of the situation?
2.) The table below shows the cost of renting a car. The company charges a daily rate for renting the car as
well as a one-time fee for insurance.
Days (d)
1
2
3
4
a.) What is the cost per day of renting a car?
b.) What is the insurance fee?
Cost (c)
70
115
160
205
3.) A taxi company charges an initial fee as well as a constant fee per mile traveled. This relationship is
represented in the graph below.
a. What is the initial fee charged by the taxi company?
b. What is the cost per mile
2.) The following representations of data express the speed of two different trains:
Train 1:
Train 2: Y = 400x, where x represents the hours traveled and y represents the total kilometers traveled.
Which train is traveling faster? How do you know?
3.) If Amanda’s height can be represented by the equation
y = 3x+ 40, which of the following equations could represent Rachel’s
height?
a. Y = 3x + 60
b. Y = 1/3x + 50
c. Y = 1/3x + 25
d. Y = 3x + 25
4.) Which of the following has a greater rate of change, the equation or the graph? Justify your answer.
Y = 4/3 X - 1
Which has the greater y-intercept? How do you know?
5.) The cost of renting a car from two different companies is expressed in the following graph and equation.
Which of the following has the greater initial cost? Which of the companies has a greater rate of
change? How do you know?
Alamo
Enterprise Y = 0.5x + 28
6.) What is the meaning of the rate of change in the context of
the problem?
7.) What is the meaning of the y-intercept on the graph?
Compare Slope & Y-Intercept between Equation and Graph
1.) Which of the following representations of data has a greater rate of change? Explain how you know.
(2 points)
Representation 1:
Representation 2:
Y = 3x – 2
2.) Which of the following representations of data has a greater rate of change? Explain how you know. (2
points)
Representation 1:
Y = -4x + 2
Representation 2:
3.) Using the representations of data above, which of the following has a greater initial value?