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Date Submitted: 04/24/2013 09:32 PM
University of Phoenix
February 15, 2013
CH 12: System of Linear Equations & Inequalities by Lial, Hestwood, Hornsby& McGinniss
Section 12.2
30) $5,000 is the fixed cost to start the business that is why you add that separate. Each bike costs $400 to manufacture. Therefore $400x will give you the total for “x” bikes.
31) y2 = 600
32) 400x + 5,000 = 600x
5,000 = 200x
x = 25
33) Bikes, $15,000, $15,000
Section 12.3
41) 1339 = a(1996) + b
42) 1536 = a(2004) + b
43) First I calculated the slope, rise/run:
1539-1536/2004-1996 = 197/8
Then we use the equation y = m(x – x0) + y0
y = 197/8(x - 1996) + 1339 and y = 197/8(x - 2004) + 1536
y = 24,625x – 22,629 + 1339 y = 24,625(x - 2004) + 1536
y = 24,625x – 21,290 y = 24,625x – 47,812.5
44) First I calculated the slope, rise/run:
1539-1536/2004-1996 = 197/8
Then we use the equation y = m(x – x0) + y0
y = 197/8(x - 2004) + 1536
y = 24,625(x - 2004) + 1536
y = 24,625x – 47,812.5
45) y = 24.625(2002) – 47812.5
y = 49299.25 – 47812.5
y = 1486.75 million in attendance. This number is less than the actual figure of 1639 million. The graph is just an estimate as to the attendance increase from year to year.
46) Many factors could affect the attendance throughout the years, including the economy, the number of movies that come out in a year, the quality of the movies. Every year is different, so the data will not be exact. But it is a good reference for estimated data.
Section 12.4
14) For this problem x = Spider Man 3 and y = Shrek
x + y = 272.7
x = y + 29.5
y + 29.5 + y = 272.7
2y = 243.2
y = 121.6
x + 121.6 = 272.7
x = 151.1
Quantitative Reasoning by Sevilla and Somers
Topic 5, Exploration 1
a) x = 0.30*3*10+14.99
x = 23.99
I would pay $23.99 on that month
b) c = 0.30m + 14.99
c) Because...