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Gordon - Functions, Data, and Models 1/e (Homework)

James Finch

Math - Developmental, section A, Fall 2019

Instructor: Dr. Friendly

Current Score : 9 / 27

Due : Monday, December 30, 2030 23:59 EST

Last Saved : n/a Saving...  ()

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Points
1 2 3 4 5 6 7 8
1/1 2/4 0/1 –/6 1/4 1/5 4/4 0/2
Total
9/27 (33.3%)

  • Instructions

    Functions, Data, and Models: An Applied Approach to College Algebra, by Sheldon P. Gordon and Florence S. Gordon, helps undergraduates use mathematics to make sense of the enormous amounts of data coming their way in today's Information Age. It can be used as a textbook in a college algebra course focusing on applications, in a quantitative literacy course, or in prerequisite courses for applied algebra or introductory statistics. Through partnership with the Mathematical Association of America, WebAssign is pleased to offer online question content along with interactive step-by-step tutorials for this title. All questions include links to the eBook for an integrated student experience.

    Question 1 uses multiple choice graphs to answer the application question.

    Question 2 is a multi-part question that tests a student's ability to apply straight line depreciation to an income tax situation.

    Question 3 lets a student enter the solution in a natural (x, y) form.

    Question 4 uses special regression equation grading that allows students to use different technologies to find their answer. It also includes an example of an essay answer for students to enter a discussion of their solutions.

    Question 5 utilizes the expandable matrix tool so students can create a matrix of the correct size. This question also features multiple-choice vector graphs.

    Question 6 has a student graph a parabola using the graphing tool.

    Question 7 allows a list of answers or the word UNDEFINED to be entered.

    Question 8 uses special grading that lets a student enter any equivalent trigonometry expression and be marked correct.

    View the complete list of WebAssign questions available for this textbook.

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1. 1/1 points  |  Previous Answers GordonApColAlg1 2.2.018. My Notes
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1
1/1
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1/1
 
Craig is a perfectly normal individual with a pulse rate of 60 beats per minute and a blood pressure of 125 over 75. Thus his heart is beating 60 times each minute and his blood pressure is oscillating between a low (diastolic) reading of 75 and a high (systolic) reading of 125. Sketch the graph of his blood pressure as a function of time. Be sure to indicate appropriate scales on each axis. (Let t represent time in seconds and P represent blood pressure.)

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2. 2/4 points  |  Previous Answers GordonApColAlg1 3.2.008. My Notes
Question Part
Points
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1 2 3 4
0/1 1/1 0/1 1/1
3/100 2/100 2/100 3/100
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2/4
 
When filing income tax returns, many people can claim deductions for depreciation on items such as cars and computers used for business purposes. The idea is that the value of such an asset decreases, or depreciates, over time. The simplest method used to find the depreciated value is called straight-line depreciation, which assumes that the item's value decreases as a linear function of time.
(a)
If a $1,300 computer system depreciates completely in five years, find a formula for its value V as a function of time t.
V =
1300
Incorrect: Your answer is incorrect. webMathematica generated answer key
What is it worth after three years?
$ Correct: Your answer is correct. seenKey

520
(b)
Suppose a computer system of the same cost depreciates completely in three years. Find a formula for its value C as a function of time t. (Round your coefficients to one decimal place.)
C =
1
Incorrect: Your answer is incorrect. webMathematica generated answer key
(c)
Explain the practical significance of the difference in the slopes in parts (a) and (b).
     Correct: Your answer is correct.

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3. 0/1 points  |  Previous Answers GordonApColAlg1 4.1.012. My Notes
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1
0/1
3/100
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0/1
 

problem

Find the solution to the system of equations graphically. (Round your answers to one decimal place. If there is no solution, enter NO SOLUTION.)
2x − 3y = 6
−4x + y = 1
(x, y) = 
6​​

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4. –/6 points GordonApColAlg1 4.2.001. My Notes
Question Part
Points
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1 2 3 4 5 6
–/1 –/1 –/1 –/1 –/1 –/1
0/100 0/100 0/100 0/100 0/100 0/100
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–/6
 
The accompanying table shows the life expectancy of a male or female child born in various years in a certain country.
Male Female
1970 69 76.6
1975 70.7 78.5
1980 72.1 79.4
1985 73 80.2
1990 73.7 80.8
1995 74.6 81
2000 76.4 81.6
2005 77.1 82.5
(a)
Find the regression line that fits each set of values as a linear function of time t in years since 1970. (Let
m(t)
 be the average live expectancy of males and
f(t)
 be the average life expectancy of females. Round numerical values to three decimal places.)
m(t) =
f(t) =
(b)
Use the lines from part (a) to generate a system of two linear equations in two unknowns. Estimate graphically when the life expectancy of males and females will be the same. (Round your answer to the nearest whole number.)
t =
(c)
Solve the system of equations from part (b) algebraically, correct to two decimal place accuracy.
(t, y) = 
(d)
Solve the system of equations from part (b) using matrices. (Round your answers to two decimal places.)
(t, y) = 
(e)
Discuss the reasonableness of extending the two linear trends far enough for them to intersect.

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5. 1/4 points  |  Previous Answers GordonApColAlg1 4.3.013. My Notes
Question Part
Points
Submissions Used
1 2 3 4
1/1 –/1 –/1 0/1
1/100 0/100 0/100 2/100
Total
1/4
 
The matrix
A =
10
0.20.3
 is applied successively to the vector
X =
2
6
 to form AX, A2X, and A3X. Calculate all three of these vectors.
X1 = AX =

Correct: Your answer is correct. seenKey

[2; 2.2]

 X2 = A2X =

X3 = A3X =

Plot all three of these vectors on the same set of axes.

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6. 1/5 points  |  Previous Answers GordonApColAlg1 7.1.005. My Notes
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1 2 3 4 5
1/1 0/1 0/1 0/1 –/1
1/100 1/100 1/100 1/100 0/100
Total
1/5
 

problem

Consider the function
y = f(x) = x2.

(a)

Write a formula for the function produced when f is stretched by a factor of 2 and then shifted up by 4 units.
y =
2x 2+4
Call this new function F and sketch its graph.
No Solution
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Submission Data

(b)

What function do you get if you reverse the order of the two operations in part (a) and first shift f up by 4 and then stretch it up by a factor of 2 units?
y =
√(x−4)2​
Call this new function G and sketch its graph.
No Solution
Help
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Submission Data

(c)

What is
F − G?
y =

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7. 4/4 points  |  Previous Answers GordonApColAlg1 7.1.010. My Notes
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1/1 1/1 1/1 1/1
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4/4
 

problem

A cubic polynomial P has zeros at
x = −3,
x = 1,
 and
x = 4.
 What can you conclude about the zeros of the following functions? If there is enough information to find the values of the zeros, find the zeros. (Enter your answers as a comma-separated list. If there is not enough information, enter UNDEFINED.)

(a)

P(x − 5)
2,6,9
Correct: Your answer is correct. webMathematica generated answer key

(b)

P(x + 5)
−8,−4,−1
Correct: Your answer is correct. webMathematica generated answer key

(c)

5P(x)
−3,1,4
Correct: Your answer is correct. webMathematica generated answer key

(d)

5 + P(x)
UNDEFINED
Correct: Your answer is correct. webMathematica generated answer key

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8. 0/2 points  |  Previous Answers GordonApColAlg1 8.2.008. My Notes
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1/100 1/100
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0/2
 
The water at a boat dock is 3 feet deep at low tide and 15 feet deep at high tide. Suppose that low tide at the dock occurs at 4 a.m., and high tide occurs at 10:30 a.m. (Let H represent the height of the tide in feet and let t represent the time in hours after midnight.)
WebAssign Plot
(a)
Find a formula for the height of the tide as a function of time using a sine function.
H(t) =
5
(b)
Find a formula for the height of the tide as a function of time using a cosine function.
H(t) =
4

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