A linear equation relating y to x for provided data points ( 2 , 308 ) and ( 6 , 408 ) where y represents the average consumer spending on television services per year (in dollars) and x represents the number of years since 2004
A linear equation relating y to x for provided data points ( 2 , 308 ) and ( 6 , 408 ) where y represents the average consumer spending on television services per year (in dollars) and x represents the number of years since 2004
Solution Summary: The author calculates a linear equation relating y to x for provided data points underset_y=25x+258 and the point-slope form of the equation that passes through
Formula Formula Point-slope equation: The point-slope equation of a line passing through the point (x 1 , y 1 ) with slope m , is given by the following formula: y - y 1 = m x - x 1 Example: The point-slope equation of a line passing through (2, -6) with slope 5 is given by: y - (-6) = 5(x - 2) y + 6 = 5(x - 2)
Chapter 2.5, Problem 7SP
(a)
To determine
To calculate: A linear equation relating y to x for provided data points (2,308) and (6,408) where y represents the average consumer spending on television services per year (in dollars) and x represents the number of years since 2004
(b)
To determine
The meaning of the slope when y represents the average consumer spending on television services per year (in dollars) and x represents the number of years since 2004, and the two data points are (2,308) and (6,408)
(c)
To determine
The meaning of the y-intercept when y represents the average consumer spending on television services per year (in dollars) and x represents the number of years since 2004 and the two data points are (2,308) and (6,408)
(d)
To determine
The average amount spent on television services in the year 2007 when y represents the average consumer spending on television services per year (in dollars) and x represents the number of years since 2004 and the two data points are (2,308) and (6,408)
3) Use the following system of linear inequalities graphed below to answer the questions.
a) Use the graph to write the symbolic form of the system
of linear inequalities.
b) Is (-4,2) a solution to the system? Explain.
5
-7
-5
-3
-2
0
2
3
4
$
6
-2
-6
-7
) Graph the feasible region subject to the following constraints.
x + y ≤ 6
y ≤ 2x
x ≥ 0, y ≥ 0
P
+
x
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