warm up the columbia record and tape company is a mail order supplier of cd’s across the country....
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Warm Up
The Columbia Record and Tape Company is a mail order supplier of CD’s across the country. Last month, the company ran a promotion where all CD’s could be purchased for $0.49 a piece, plus $8.49 for shipping and handling.
Write a linear function to model this situation. Let x represent the number of CD’s ordered and C(x) represents the total cost of ordering x CD’s.
Use your function to find the cost of ordering 21 CD’s.
( ) 0.49 8.49C x x
(21) $18.78C
Warm Up
Find the linear function that contains the following pair of points.
1994,27.6 & 1998,20.8
( ) 1.7 3417.4f x x
Warm Up
Find the linear function that correctly models the data in the table below.
year Value
1980 561,717$
1985 563,152$
1986 563,439$
1990 564,587$
1994 565,735$
1996 566,309$
1999 567,170$
2004 568,605$
2006 569,179$
2011 570,614$
( ) 287 6543f x x
Find a linear function to represent each data set.
The ordered pairs in the table are part of a linear function. Find the function.
x y
3 7
2 5
-2 -8
0 -3
2
2 1
m
y x
134
13 34 2
m
y x
52
52 3
m
y x
Graph these 4 points, then draw a line of best fit
The ordered pairs in the table are part of a linear function. Find the function.
x y
3 7
2 5
-2 -8
0 -3
Estimate the slope of your line
Estimate the y-intercept of your line
What is the function that
matches your line?
3m
2b
3 2y x
We can use a graphing calculator to help us get a function
The ordered pairs in the table are part of a linear function. Find the function.
x y
3 7
2 5
-2 -8
0 -3
3.1356 2.1017y x
Use a graphing calculator.
1. Find the linear function that bests models the data in the table.
x y
5 5
-2 -9
-4 -13
1 -3
Then use your function to find the
value of when 14y x
Use a graphing calculator.
2. Find the linear function that bests models the data in the table.
x y
-8 34
-3 19
2 4
11 -23
Then use your function to find the
value of when 21y x
Use a graphing calculator.
3. Find the linear function that bests models the data in the table.
x y
4 16
-11 -21.5
-6 -9
3 13.5
Then use your function to find the
value of when 7y x
Use a graphing calculator.
4. Find the linear function that bests models the data in the table.
x y
12 -15.4
-3 -5.4
-6 -3.4
15 -17.4
Then use your function to find the
value of when 36y x
Use a graphing calculator.
5. Find the linear function that bests models the data in the table.
x y
132 34116
-412 -99164
67 18191
-32 -6064
Then use your function to find the
value of when 5y x
Use a graphing calculator.
6. Find the linear function that bests models the data in the table.
x y
13 -914
22 -1337
-8 73
17 -1102
Then use your function to find the
value of when 78y x
Use a graphing calculator.
7. Find the linear function that bests models the data in the table.
x y
12 -434.629
-33 -557.299
-65 -644.531
7 -448.259
Then use your function to find the
value of when 25y x
Use a graphing calculator.
8. Find the linear function that bests models the data in the table.
x y
6.3 -44.866
-8.9 70.958
-2.4 21.428
3.8 -25.816
Then use your function to find the
value of when 27.6y x
Find a linear function to represent each data set.
Find the linear function that most closely models the data table. Round your slope and your y-intercept to the nearest thousandth. (3 decimal places). Use your function to calculate the following values.
x f(x)
6 6
-1 9
5 3
1 8
( 12)
( 2)
(7)
(15)
f
f
f
f
Find a linear function to represent each data set.
The table records the total sales of the products between 1980 and 1993 in the United States. Find the linear function that most closely models the data table. Round your slope and your y-intercept to the nearest thousandth. (3 decimal places). Use your function to calculate the following values.
yearSales
(Billions)1980 181$
1985 208$
1986 226$
1987 240$
1988 252$
1989 248$
1990 276$
1991 270$
1992 274$
1993 287$
(1995)
(1999)
(2013)
(2021)
f
f
f
f