Chapter 1 Final Exam Review

Name__________________________________________________ Date___________________ Period _____________ Discrete Math Chapter 1 Final Exam Review Find the slope of the line passing through the given pair of points. 1) (15, -12) and (-1, -9) 3 3 3 16 A) B) C) D) 16 16 2 3 Find the slope of the line. 2) A line parallel to 4y + 5x = -6 6 A) 5

B) -

5 4

C) -

4 5

D)

Write an equation for the line. Use slope -intercept form, if possible. 3) Through (-1, 4) and (-5, -7) 4 48 11 40 11 5 A) y = x+ B) y = x+ C) y = x+ 11 11 4 11 4 4 Write an equation for the line. 4) Through (-5, 6), perpendicular to 10x + 3y = 1 3 15 10 32 A) y = x+ B) y = x10 2 3 3

C) y =

10 68 x+ 3 3

Write a cost function for the problem. Assume that the relationship is linear. 5) Marginal cost, $30; 50 items cost $2100 to produce A) C(x) = 30x + 2100 B) C(x) = 12x + 2100 C) C(x) = 30x + 600 6) Fixed cost, $260; 10 items cost $900 to produce A) C(x) = 128x + 900 B) C(x) = 64x + 900

C) C(x) = 64x + 260

5 4

D) y =

11 27 x+ 4 4

D) y = -

3 9 x+ 10 2

D) C(x) = 12x + 600

D) C(x) = 128x + 260

Solve the problem. 7) A book publisher found that the cost to produce 1000 calculus textbooks is $26,100, while the cost to produce 2000 calculus textbooks is $52,600. Assume that the cost C(x) is a linear function of x, the number of textbooks produced. What is the marginal cost of a calculus textbook? A) $26.50 B) $2.65 C) $0.0265 D) $26,500 Compute r, the coefficient of correlation. 8) The following are the temperatures on randomly chosen days and the amount a certain kind of plant grew (in millimeters): Temp 77 88 85 61 64 72 73 63 74 Growth 39 17 12 22 15 29 14 25 43 A) .0396 B) -.0953 C) -.3105 D) 0 Find the equation of the least squares line. Round values to the nearest hundredth, if necessary. 9) x 2 4 5 6 y 7 11 13 20 A) y' = 2.8x B) y' = 3x C) y' = 2.8x + .15 D) y' = 3x + .15 10) x 1 3 5 7 9 y 143 116 100 98 90 A) y' = -6.8x + 150.7

B) y' = -6.2x + 140.4

1

C) y' = 6.8x - 150.7

D) y' = 6.2x - 140.4