Solved by verified expert:i will put the file down so please send me the right answer only. Make sure you send the corect answer
ch_3_hmwk_linear_and_exp_change.pdf
Unformatted Attachment Preview
٢٠١٨/٤/١٧
Ch 3 Hmwk-Linear and Exp Change
WebAssign
Ch 3 Hmwk-Linear and Exp Change (Homework)
Current Score : – / 35
Turki Alqahtani
MAT-1030, section VU01, Spring 2018
Instructor: Laura Marthaler
Due : Monday, April 30 2018 08:30 AM EDT
1. –/1 pointsCraudQL2 3.1.TB.001.
A function is called linear if it has a(n) _____ growth rate.
varied
decreasing
constant
increasing
2. –/1 pointsCraudQL2 3.1.TB.002.
The graph of a linear function is a _____.
jagged line
dotted line
straight line
curve
3. –/1 pointsCraudQL2 3.1.TB.003.
In the linear function y = mx + b, b is the _____.
initial value
growth rate
balance
slope
4. –/1 pointsCraudQL2 3.1.TB.005.
Given a set of data points, the _____ line comes as close as possible to fitting those data.
stabilizing
regression
interpretation
growth
http://www.webassign.net/web/Student/Assignment-Responses/last?dep=18543850
1/11
٢٠١٨/٤/١٧
Ch 3 Hmwk-Linear and Exp Change
5. –/1 pointsCraudQL2 3.1.010.
Suppose that I wrote 150 words of my English paper yesterday and today I begin typing at a rate of 60
words per minute. Is the total number of words typed a linear function of the number of minutes since I
began typing today? Explain your reasoning.
Yes, because the number of words typed grows constantly as the number of minutes increases.
No, because the number of words typed does not grow constantly as the number of minutes
increases.
6. –/1 pointsCraudQL2 3.1.014.
In order to ship items I bought on eBay, I pay a delivery company a flat fee of $10, plus $2.25 per
pound. Is the shipping cost a linear function of the number of pounds shipped? Explain your reasoning.
Yes, because the the shipping cost grows at a constant rate.
No, because the shipping cost does not grow at a constant rate.
7. –/1 pointsCraudQL2 3.1.021.
Suppose that you are at the base of a hill and see a sign that reads “Elevation 3600 Feet.” The road you
are on goes straight up the hill to the top, which is 3 horizontal miles from the base. At the top, you see
a sign that reads “Elevation 4500 Feet.” What is the growth rate in your elevation with respect to
horizontal distance as you drive up the road?
ft/mi
Use V for elevation in feet and h for horizontal distance in miles, and find a formula that gives your
elevation as a linear function of your horizontal distance from the base of the hill.
http://www.webassign.net/web/Student/Assignment-Responses/last?dep=18543850
2/11
٢٠١٨/٤/١٧
Ch 3 Hmwk-Linear and Exp Change
8. –/1 pointsCraudQL2 3.1.026.
Measuring the speed of sound in the ocean is an important part of marine research. One application is
the study of climate change. The speed of sound depends on the temperature, salinity, and depth below
the surface. For a fixed temperature of 25 degrees Celsius and salinity of 35 parts per thousand, the
speed of sound is a function of the depth. At the surface, the speed of sound is 1534 meters per second.
For each increase in depth by 1 kilometer, the speed of sound increases by 17 meters per second.
Explain why the function expressing the speed of sound in terms of depth is linear.
The change per km increase of depth is different for different depths.
The sound travels in a straight line.
The change per km increase of depth is the same regardless of depth.
The speed of sound is constant.
9. –/1 pointsCraudQL2 3.1.028.
Measuring the speed of sound in the ocean is an important part of marine research. One application is
the study of climate change. The speed of sound depends on the temperature, salinity, and depth below
the surface. For a fixed temperature of 25 degrees Celsius and salinity of 35 parts per thousand, the
speed of sound is a function of the depth. At the surface, the speed of sound is 1534 meters per second.
For each increase in depth by 1 kilometer, the speed of sound increases by 17 meters per second.
What increase in the speed of sound is caused by a 8-kilometer increase in depth?
m/s
10.–/1 pointsCraudQL2 3.1.042.
The following table shows the federal income tax owed by a single taxpayer for the given level of taxable
income for 2013. Both are measured in dollars.
Taxable
Income
Tax owed
97,000
97,050
97,100
97,150
97,200
97,250
97,300
20,460
20,474
20,488
20,502
20,516
20,530
20,544
What tax do you owe if you have a taxable income of $97,250?
$
http://www.webassign.net/web/Student/Assignment-Responses/last?dep=18543850
3/11
٢٠١٨/٤/١٧
Ch 3 Hmwk-Linear and Exp Change
11.–/3 pointsCraudQL2 3.1.003.
A child is 40 inches tall at age 6. For the next few years, the child grows by 3 inches per year. Explain
why the child’s height after age 6 is a linear function of his age.
The child’s height after age 6 is a linear function as there —Select—
a constant growth rate.
Identify the growth rate and initial value.
The growth rate is
inches/year and the initial value is
inches.
Using t for time in years since age 6 and H for height in inches, find a formula for H as a linear function
of t.
H=
inches
12.–/3 pointsCraudQL2 3.1.004.
The temperature at 6:00 A.M. on a certain summer day is 76 degrees. Over the morning the
temperature increases by 2 degrees per hour. Explain why temperature over the morning is a linear
function of time since 6:00 A.M.
The temperature —Select—
at a constant growth rate and thus, is linear.
Identify the slope and initial value.
The slope is
degrees/hour and the initial value is
degrees.
Using t for time in hours since 6:00 A.M. and T for temperature, find a formula for T as a linear function
of t.
T=
degrees
13.–/1 pointsCraudQL2 3.1.006.
The depth D, in inches, of snow in my yard t hours after it started snowing this morning is given by
D = 1.1t + 3. If the depth of the snow is 4 inches now, what will be the depth one hour from now?
D=
in
http://www.webassign.net/web/Student/Assignment-Responses/last?dep=18543850
4/11
٢٠١٨/٤/١٧
Ch 3 Hmwk-Linear and Exp Change
14.–/1 pointsCraudQL2 3.1.011.
My savings account pays 4% per year, and the interest is compounded yearly. That is, each year accrued
interest is added to my account balance. Is the amount of money in my savings account a linear function
of the number of years since it was opened? Explain your reasoning. Suggestion: Compare the interest
earned the first year with the interest earned the second year.
Yes, because the balance grows by a constant amount each year.
No, because the balance does not grow by a constant amount each year.
15.–/1 pointsCraudQL2 3.1.022.
The figure below shows how the price of Amazon’s Kindle has decreased over time. The green line is a
trend line. (You can check that the hash marks on the horizontal axis are one-month intervals.)
The trend line estimates that the price was $432 in November 2007 and $80 in September 2011. (That is
an interval of 46 months.) Use this information to determine the slope of the trend line. Be careful about
the sign. (Round your answer in dollars per month to two decimal places.)
dollars/month
http://www.webassign.net/web/Student/Assignment-Responses/last?dep=18543850
5/11
٢٠١٨/٤/١٧
Ch 3 Hmwk-Linear and Exp Change
16.–/1 pointsCraudQL2 3.1.049.
The following table shows the number (in thousands) graduating from public high schools in the United
States in the given year.
1980
1981
1982
1983
1984
1985
2747.7
2725.3
2704.8
2597.6
2494.8
2414.0
1986
1987
1988
1989
1990
1991
2382.6
2428.8
2500.2
2458.8
2320.3
2234.9
1992
1993
1994
1995
1996
1997
2226.0
2233.2
2220.8
2273.5
2273.1
2358.4
1998
1999
2000
2001
2002
2003
2439.1
2485.6
2553.8
2569.0
2621.5
2719.9
2004
2005
2006
2007
2008
2753.4
2799.3
2815.5
2892.4
2999.5
The scatterplot of the data is shown below in the figure on the left. In the figure on the right, the trend
line has been added.
Which of the following statements is correct about the trend line?
It shows the inconsistent growth of the data.
It shows the increase and decrease in the given data.
It is not an appropriate way to analyze the data because the data does not represent a linear
relationship.
It represents the general trend of the given data.
http://www.webassign.net/web/Student/Assignment-Responses/last?dep=18543850
6/11
٢٠١٨/٤/١٧
Ch 3 Hmwk-Linear and Exp Change
17.–/1 pointsCraudQL2 3.1.059.
The following table shows the average life expectancy, in years, of a child born in the given year.
Year
2003
2004
2005
2006
2007
2008
Life expectancy
77.1
77.5
77.4
77.7
77.9
78.0
If t denotes the time in years since 2003 and E the life expectancy in years, then it turns out that the
trend line for these data is given by
E = 0.17t + 77.17.
The data and the trend line are shown in the figure below.
During which year was life expectancy clearly higher than would have been expected from the linear
trend?
http://www.webassign.net/web/Student/Assignment-Responses/last?dep=18543850
7/11
٢٠١٨/٤/١٧
Ch 3 Hmwk-Linear and Exp Change
18.–/1 pointsCraudQL2 3.1.060.
The following table shows the average life expectancy, in years, of a child born in the given year.
Year
2003
2004
2005
2006
2007
2008
Life expectancy
77.1
77.5
77.4
77.7
77.9
78.0
If t denotes the time in years since 2003 and E the life expectancy in years, then it turns out that the
trend line for these data is given by
E = 0.17t + 77.17.
The data and the trend line are shown in the figure below.
If the linear trend established by these data persisted through 2014, what would be the life expectancy
of a child born in 2014? (Round your answer to one decimal place.)
yr
19.–/1 pointsCraudQL2 3.1.TB.007.
Suppose that the cost of purchasing CDs from a music club is a flat membership fee of $25 plus $10 for
each CD purchased. If C is the cost in dollars and n is the number of CDs bought, then the amount of
money you pay would be.
C = 10n + 25
C = 10 − 25n
C = 25n + 10
C = 25n − 10
http://www.webassign.net/web/Student/Assignment-Responses/last?dep=18543850
8/11
٢٠١٨/٤/١٧
Ch 3 Hmwk-Linear and Exp Change
20.–/1 pointsCraudQL2 3.1.TB.011.
A new laptop computer selling for $899 in January fell in price to $719 in six months. Assuming the
relationship of price to time is linear, determine the decrease in price over each month.
$40
$35
$45
$30
21.–/1 pointsCraudQL2 3.2.TB.021.
A(n) _____ function is a function that changes at a constant percentage rate.
increasing
logarithmic
linear
exponential
22.–/1 pointsCraudQL2 3.2.TB.022.
The formula for an exponential function y of t is which of the following?
y = Base ✕ (Initial value)t
y = Initial value ✕ (Base)t
y = Initial value ✕ Base
y = Initial value + (Base)t
23.–/1 pointsCraudQL2 3.2.005.
You owe $550 on your credit card. Each month you fail to make a payment, your balance increases by
3%. Find a formula for the balance B owed after t months with no payment.
B=
http://www.webassign.net/web/Student/Assignment-Responses/last?dep=18543850
9/11
٢٠١٨/٤/١٧
Ch 3 Hmwk-Linear and Exp Change
24.–/1 pointsCraudQL2 3.2.007.
Bob’s salary grows by $4000 each year. Mary’s salary grows by 4% each year. Which one has a salary
that grows exponentially?
Bob’s salary grows exponentially.
Mary’s salary grows exponentially.
25.–/1 pointsCraudQL2 3.2.TB.023.
An exponential function y of t is characterized by the following property. When t increases by 1, to find the
new value of y, we multiply the current value by _____.
t+1
the initial value
t−1
the base
26.–/1 pointsCraudQL2 3.2.TB.024.
The _____ of a radioactive substance is the time it takes for half of the substance to decay.
doubling time
shelf-life
halving time
half-life
27.–/1 pointsCraudQL2 3.2.TB.028.
Suppose the number of internet domain hosts grew according to the following rule.
Next year’s number = 1.47 ✕ the current number.
If the number of domain hosts initially was 8.4 million, find an exponential function that gives the number
of hosts, H, in terms of time, t.
H = 1.47 ✕ (8.4)t
H = 8.4 + (1.47)t
H = 1.47 + (8.4)t
H = 8.4 ✕ (1.47)t
http://www.webassign.net/web/Student/Assignment-Responses/last?dep=18543850
10/11
٢٠١٨/٤/١٧
Ch 3 Hmwk-Linear and Exp Change
28.–/1 pointsCraudQL2 3.2.TB.030.
Initially, a population is 750, and it grows by 3% each year. Find a formula for the population, P, at any
time, t.
P = 750 ✕ (0.03)t
P = 1.03 ✕ (750)t
P = 750 ✕ (1.03)t
P = 0.03 ✕ (750)t
29.–/1 pointsCraudQL2 3.2.008.
Water is pumped into a tank at a rate of 18 gallons per minute. Determine which type of function
describes the volume of water in the tank: linear or exponential.
linear
exponential
30.–/2 pointsCraudQL2 3.2.022.
The world population in 2013 was estimated to be 7.1 billion people, and it is increasing by about 1.1%
per year. Assume that this percentage growth rate remains constant through 2015. Explain why the
population is an exponential function of time.
Population is an exponential function of time because the percentage growth rate is always 1.
Population is an exponential function of time because the population growth rate is always −1.
Population is an exponential function of time because the percentage growth rate is constant.
Population is an exponential function of time because the population is always shrinking.
Population is an exponential function of time because the population is always growing.
What would you expect the world population to be in 2015? (Round your answer to one decimal place.)
billion people
http://www.webassign.net/web/Student/Assignment-Responses/last?dep=18543850
11/11
…
Purchase answer to see full
attachment
