Introduction to linear models.

1. Linear Models
mist by flickr user SToppin

2. Equation Of A Line Slope
slope intercept form
point slope form
general form

3. The motion of an object has been recorded and the data is shown
in the table below:
Make a graph of the data.
Find the slope of the line
segments: AC, BE and BF.
What do the slope values represent?

4. The cost of producing a school yearbook is $1000 for setup fees and
$1200 for each lot of 100 copies purchased. Here is a table of values
showing the total cost for 100, 200, 300, or 400 copies purchased.

5. Writing an equation for a line The graph below shows the cost of
taking a taxi for various distances.
What is the significance
of the y-intercept A?
The coordinates of the point A are
(0, 4). This means that before you
have traveled any distance the cost
is $4.00. The startup cost of taking
the taxi is $4.00.
What is the slope of the line? What does the slope quot;meanquot;?
What is the cost of a 10 km trip? How far could you travel for $6.25?

6. In testing the effectiveness of a new antibacterial spray, a biochemist
recorded the number of bacteria present in a tissue culture after the spray
had been present for different periods of time. The data are recorded in
the table below:
a) Find the slope.
What does it mean?
b) Find the y-intercept.
What does it represent? c) Write the equation of the line.

7. In testing the effectiveness of a new antibacterial spray, a biochemist
recorded the number of bacteria present in a tissue culture after the spray
had been present for different periods of time. The data are recorded in
the table below:
d) After how many hours
would 25 bacteria be present?
e) State the largest value and
the smallest value of the domain.
f) State the largest value and
the smallest value of the range.