De Anza College Electricity Rates in Florida Questions

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Answer those six questions in the picture: No. 40, No. 100 No. 20, No. 32 No. 16

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In Problems 35–42, graph the line containing the point P and having slope m.
35. P = (1, 2); m = 2
36. P = (2,1); m = 3
37.
39. P = (-1,3); m = 0
40. P = (2,-4); m = 0
41.
100. Electricity Rates in Florida Florida Power & Light Company
supplies electricity to residential customers for a monthly
customer charge of $5.69 plus 8.735 cents per kilowatt-hour
for up to 1000 kilowatt-hours.
(a) Find a linear equation that relates the monthly charge C,
in dollars, to the number x of kilowatt-hours used in a
month, 0 SXS 1000.
(b) Graph this equation.
(c) What is the monthly charge for using 200 kilowatt-hours?
(d) What is the monthly charge for using 500 kilowatt-hours?
(e) Write a practical sentence expressing how C changes for
every unit change in x.
Source: Florida Power & Light Company, January 2010.
In Problems 15-26, the given pairs of lines intersect. Find the point of intersection. Graph each pair of lines.
15. L: x + y = 5
16. L: 2x + y = 7
17. L:
x – y = 2
M: 3x – y = 7
M: x – y = -4
M: 2x + y = 7
19. L: 4x + 2y = 4
20. L: 4x – 2y = 8
21. L: 3x – 4y = 2
M: 4x – 2y = 4
M: 6x + 3y = 0
M: x + 2y = 4
23. L: 3x – 2y = -5 24. L: 4x + y = 6
25. L:
M: 3x + y = -2
M: 4x – 2y = 0
M: y = -2
X =
4
In Problems 29-34, find an equation for the line with the given properties. Express your answer using the general form or the slope-intercept
form, whichever you prefer.
29. Parallel to the line y = 4x; containing the point (-1,2) 30. Parallel to the line y = – 3x; containing the point (-1,2)
31. Parallel to the line 2x – y = -2; containing the point (0,0) 32. Parallel to the line x – 2y = -5; containing the point(0,0)
33. Parallel to the line x = 3; containing the point (4,2)
34. Parallel to the line y = 3; containing the point (4,2)
35. Find the equation of the line containing the point (-2,-5) 36. Find the equation of the line containing the point (-2,-5)
and parallel to the line containing the points (-2,9) and and parallel to the line containing the points (-4,5) and
(3,-10).
(2, -1).
price is $3,
une demand
uation.
16. Supply and Demand for a certain commodity the demand
equation is given by
D = -3p + 20
At a price of $1, four units of the commodity are supplied. If
the supply equation is linear and the market price is $4, find
the supply equation.

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point of intersection

Electricity Rates

Pairs of lines intersect

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