Download CG # 2 line of best fit, inequalities

Name: __________________________________________________
Algebra 1: Graphing Applications Class Grade
1. Graph the ordered pairs (x, y) on graph paper. Draw your line of
best fit and find the equation of the line below.
x-values
y-values
-3
8
-2
6
-1
5
0
3
1
2
2
0
What is the equation of your line of best fit? ________________
2. The chart below shows the winning times for the men’s 1500-meter
run at the 1952 through the 1988 Olympic Games. Let o be the
Olympics Game and t be the winning time in seconds.
Graph the ordered pairs (o,t) on graph paper. Draw your line of
best fit and find the equation of the line below.
Olympics
(o)
1
2
3
4
5
6
7
8
9
10
225
217
216
218
215
216
214
218
215
216
Time ( t)
What is the equation of your line of best fit? ________________
3. A temperature of 0ºC is the same as 32 ºF. A temperature of 10ºC
is the same as 50ºF. Use the ordered pairs (C, F)
a). What is the independent variable?
b). What is the dependent variable?
c). Find the slope.
d). Find the y-intercept.
e). Write an equation.
f). Use this linear equation to find the temperature Fahrenheit when the
temperature is 30ºC.
4. Scores on an achievement test (a) are related linearly to scores
on another test (b). Here are two students’ scores: a = 500, b
=100 and a =680, b = 127. Use the ordered pair (a, b).
a). What is the independent variable?
b). What is the dependent variable?
c). Find the slope.
d). Find the y-intercept.
e). Write an equation.
f). Use this linear equation to predict the score on the b test for a student
with a score of 700 on the a test.
5. The total length (l) of a certain species of snake is related
linearly to the tail length (t) of this snake. Here are the
measurements for two snakes of this species. Snake 1: l = 150
mm and t = 19 mm; Snake 2: l = 300 mm and t = 40 mm. Use
the ordered pair (l, t)
a). What is the independent variable?
b). What is the dependent variable?
c). Find the slope.
d). Find the y-intercept.
e). Write an equation.
f). Use this linear equation to predict the tail length of a snake with a
total length of 200 mm.
Graph the following inequalities on graph paper.
6). x + y < 4
7). y < -2
8). y – 2x > 0
9). 2x – y < -1
10). x > 3y