Pre-Calc/Chapter 7: Systems and Matrices/Is College Affordable
#10
Using your linear model, determine the cost of Room and Board for the year 2018.]]>
1.0000000
0.3333333
0
9974.32
50
0
0.1000000
3
0
#3
Describe the typical yearly increase in the cost of room and board during this period.]]>
1.0000000
0.3333333
0
true
true
abc
141%]]>
98%]]>
120%]]>
163%]]>
#5
Which expense (tuition or room & board) seems to go up at more of a constant rate of change?]]>
1.0000000
0.3333333
0
true
true
abc
Room and Board]]>
Tuition and Fees]]>
#9
Using your exponential model, determine the cost of Tuition and Fees for the year 2018.]]>
1.0000000
0.3333333
0
26521.1
200
0
0.1000000
3
0
Room and Board Trend
Describe the trend of Room and Board costs from 1978-2008.]]>
1.0000000
0.3333333
0
true
true
abc
Except for one 5-year period, there is a steady increase.]]>
There is a constant increase in costs.]]>
Costs sporadically fluctuate up and down.]]>
There is no observable pattern.]]>
Total College Cost
Looking at the future, what would the total cost be for attending four years of college if the tuition and fees cost is ${tuitionfees} and the room and board cost is ${roomboard} per year?]]>
1.0000000
0.3333333
0
0
0
abc
0
4*({tuitionfees}+{roomboard})
2
1
1
2
0
0.1000000
0
1
1
$
private
tuitionfees
calculatedsimple
uniform
1.0
10.0
1
90
1
13042.57
2
15823.30
3
18690.40
4
22311.34
5
22514.25
6
26654.47
7
16415.40
8
16650.61
9
29864.07
10
13990.85
11
27080.41
12
27231.14
13
20670.28
14
16832.91
15
22278.29
16
21237.97
17
13747.42
18
25605.72
19
25163.34
20
28307.86
21
13844.87
22
17916.07
23
22870.30
24
23259.95
25
23643.53
26
27805.47
27
16324.74
28
14850.42
29
28333.07
30
18190.02
31
18865.15
32
27580.05
33
16847.84
34
21269.93
35
18565.63
36
16366.78
37
13379.58
38
28828.97
39
14751.87
40
24514.91
41
29904.50
42
24598.52
43
20316.34
44
19788.98
45
20905.48
46
29546.30
47
26833.30
48
15779.31
49
17313.81
50
16779.45
51
15698.46
52
21492.15
53
17275.61
54
21486.46
55
13527.84
56
23108.95
57
25930.13
58
13956.01
59
27409.24
60
20669.96
61
22490.79
62
14527.60
63
24851.29
64
15335.50
65
28374.02
66
21458.71
67
22853.64
68
13300.90
69
22128.88
70
14480.05
71
25853.73
72
17976.19
73
27461.35
74
23697.11
75
14910.79
76
21969.66
77
24288.62
78
24375.97
79
13051.14
80
16752.98
81
18554.92
82
21808.19
83
27911.75
84
25094.45
85
25591.41
86
21384.53
87
27689.29
88
13375.69
89
25349.32
90
20946.20
90
private
roomboard
calculatedsimple
uniform
1.0
10.0
1
90
1
10122.12
2
15557.48
3
15527.53
4
12388.41
5
14940.37
6
11161.38
7
19376.39
8
17381.27
9
12989.85
10
13742.92
11
18960.91
12
16075.63
13
9396.34
14
15816.92
15
13766.54
16
10518.27
17
13451.37
18
15054.64
19
13509.25
20
13169.99
21
16777.46
22
11785.30
23
19087.21
24
18317.04
25
13530.22
26
11526.88
27
19453.12
28
18048.62
29
19496.74
30
19787.48
31
10622.34
32
9646.20
33
11516.74
34
18004.95
35
17114.93
36
9974.77
37
18454.68
38
10199.02
39
9986.57
40
16047.48
41
15175.27
42
13822.14
43
11920.14
44
17218.35
45
17193.30
46
13609.92
47
13864.04
48
14735.91
49
14982.07
50
16505.84
51
10688.98
52
9622.82
53
13325.11
54
12068.25
55
18750.99
56
16993.59
57
12214.52
58
19388.60
59
11004.56
60
17339.29
61
19760.05
62
17229.23
63
18448.17
64
14972.34
65
15591.20
66
16137.38
67
9419.90
68
12710.00
69
18091.79
70
11709.75
71
16721.18
72
18085.52
73
12423.65
74
19549.82
75
9015.24
76
16364.25
77
14373.57
78
10974.69
79
19573.10
80
16910.21
81
13213.36
82
16062.48
83
15922.19
84
13932.43
85
13500.87
86
14442.84
87
17057.79
88
16532.66
89
17536.70
90
11570.54
90
Tuition and Fees Trend
Describe the trend in tuition and fees from 1978-2008]]>
1.0000000
0.3333333
0
true
true
abc
Costs have constantly increased over each 5-year period.]]>
Except for one 5-year period, cost have increased.]]>
Costs have increased, except for private universities.]]>
There is no observable pattern]]>