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Precalculus Mr. Jeckovich
Assignment: 7.) p.37 # 77,85
Name:__________________________________________
p.53 # 83,91,107,123
p.64 # 1,3,9,11,31,33,51,53
Bonus p.65 #49
Match the description with its graph. Also determine the slope and how it is interpreted in the situation.
[
] 77. A person is paying $10 per week to a friend to repay a $100 loan.
125
100
75
50
25
2
[
4
6
8
10
] 85. Suppose that your salary was $28,500 in 1994 and $32,900 in 1996. If your salary follows a linear growth
pattern, what will your salary be in 2000?
Find all real solutions of the equation. Use a graphing utility to verify your solutions.
[
] 83.
1
t
2
+
8
+ 15 = 0
t
[
]
91.
x + 1 - 3x = 1
[
] 107.
2
x = x + x - 3
[
] 123. Solve for b : A =
1
a + b h
2
p.64 Match the inequality with its graph. ( or sketch the graph)
[ ] 1. x < 3
[ ] 3. -3 x 4
Solve the inequality and sketch the solution on the real number line. Use a graphing utility to verify your solution
graphically
[
] 9. -10 x < 40
-10 -8
-6
-4
[
-2
0
2
4
6
8
10
] 11. 4x + 1 < 2x + 3
-10 -8
-6
-4
-2
0
2
4
6
8
10
Solve the inequality and sketch the solution on the real number line.
[
] 31.
x
3
2
[
] 33. x - 20 4
Solve the inequality and graph the solution on the real number line. Use a graphing utility to verify your solution
graphically.
[
] 51.
2
x + 2 25
[
] 53.
2
x + 4x + 4 9
Bonus: [ ] 49. Data Analysis The college admissions office wants to decide if there is a relationship between IQ scores
x and grade-point averages y after the first year. A sample of 12 students yielded the following data.
(a) Use a graphing utility to plot the points. What shape does the plot have?
L1
{¡}
L2
{¡}
5
4
3
2
1
115
120
125
130
135
140
(b) Use the regression capabilities of a graphing utility to find a model appropriate to the shape of the plotted data. Graph
the model in the same viewing rectangle as part (a).
5
4
3
2
1
115
120
125
130
135
140
(c) Which values of x predict a grade-point average of at least 3.0 ?
(d) Use the graph to write a statement about the accuracy of the model. If you think the graph indicates that IQ scores are
not particularly good predictors of grade-point average, list other factors that may influence college performance.