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Unsolved Final Exam for Finite Math | MATH 105, Exams of Mathematics

Material Type: Exam; Professor: Diener; Class: Finite Math; Subject: Mathematics; University: Christian Brothers University; Term: Spring 2008;

Typology: Exams

Pre 2010

Uploaded on 08/19/2009

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EXAM 1
Math 105
January 31, 2008
Name
You must show all your work. Partial credit will be given.
1. Calculate the value of H(t) = 16t2+ 90 at t= 1, where H(t) is the height of a cliff diver
above the water tseconds after he jumped from a 90 foot cliff. Interpret your answer in the
context of this problem. (8 pts)
2. Find the equation of the line passing through the points (2,3) and (1,0). (8 pts)
3. Find the slope, x-intercept and y-intercept of the line 3x+ 2y= 4. (8 pts)
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EXAM 1

Math 105 January 31, 2008

Name

You must show all your work. Partial credit will be given.

  1. Calculate the value of H(t) = − 16 t^2 + 90 at t = 1, where H(t) is the height of a cliff diver above the water t seconds after he jumped from a 90 foot cliff. Interpret your answer in the context of this problem. (8 pts)
  2. Find the equation of the line passing through the points (2, 3) and (1, 0). (8 pts)
  3. Find the slope, x-intercept and y-intercept of the line 3x + 2y = 4. (8 pts)
  1. Use linear regression (i.e. LinReg(ax+b) on the calculator) to find a model that fits the data below. According to your model what do you expect North Carolina’s ranking to be in 2010? (7 pts) North Carolina Per Capita Income Ranking Years since 1995 (out of 50 states) 0 42 1 34 2 32 3 28 4 28
  2. In 2001, the average retail price of a 2000 Toyota Land Cruiser 4-Wheel Drive was $43,650. The average retail price of a 1995 Toyota Land Cruiser 4-Wheel Drive was $21,125. Find a model for the value of a Toyota Land Cruiser in 2001 as a function of the production year. Use your model to predict the average retail price of a 1992 production model in 2001. ( pts)
  1. Solve each of the folling systems of equations using any method you like. (9 pts each)

(a)

2x-3y=- 2x+5y=

(b)

x+2y= -x+5y=

(c)

-2x + y= 3x + y= .5x+2y=

(d)

x + y +z = 6 2x + 3y +z = 3 4x + 4y + 5z =