1) Find the slope of the line
1) Find the slope of the line.
The slope of the line is m=
(0, 5) and (3,9)
Rise/run
= (9-5)/(3-0)
= 4/3
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2) Graph the equation using the slope and the y-intercept. Y= 1/5x +4
Slope = 1/5
Y intercept = (0,4)
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3) For the graph find the average rate of change as a reduced fraction. Also, state the appropriate units (do not abbreviate).
Rate = (350-50)/(9-0)
The rate of change is (do not enter the units) = 100/3 (that’s a fraction)
The appropriate units are pages per--- day
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4) Graph the equation by plotting points y= -4
It’ll be horizontal at y = -4:
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5) Determine whether the graphs of the pair of lines are parallel.
X+12= y
y-x = -8
y = x - 8
What is the slope of the line x+12=y? 1
What is the slope of the line y-x= -8? 1
Are the graphs of the given equations parallel?
YES
6) Use the graph of the function f to find f (2), f (3) and f (4).
F(2) = 2
F(3) = 8
F(4) = 6
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7) Given the function k(r) =9r+5, find each of the following:
K (10) = 9*10 + 5 = 95
K (-5) = 9*-5 + 5 = -40
K (6.7) = 9*6.7 + 5 = 65.3
8) The table lists data regarding the average salaries of several professional athletes in the years 1991 and 2001.
Salary
$277,000 (in 1991)
$1,350,000 (in 2001)
Slope = rise/run = (1350000-277000)/(2001-1991) = 107300
a)Use the data points to find a linear function that fits the data.
F(x) = 107300x + 277000 (assuming t = 0 is 1991)
b) Use the function to predict the average salary in 2005 and 2010.
The predicted average salary for 2005 is $---- 1779200
The predicted average salary for 2010 is $---- 2315700
9) Use the graph of the function to find the following.
F(0)= 0
What is the domain? All real numbers
Find all x values such that f(x)= -4
At x = -2
What is the range? All real numbers
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