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MDK88
Section3.3Homework-All.pdf
6/9/2020 Section 3.3 Homework-Kiare Mays
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Student: Kiare Mays Date: 06/09/20
Instructor: Valery Shemetov Course: MTH154 – Quantitative Reasoning (with MCR4)
Assignment: Section 3.3 Homework
1: Trends in fertility rate
The 2010 census in a certain country counted people and there were births that year.311,520,172 3,249,155
a) Compute the ratio of births to population and scale the second quantity to 1,000. This is known as the birth rate. b) The birth rate in part a) is 3% lower than the 2009 birth rate. Why is the birth rate lower in 2010 even though the population increased between 2009 and 2010? c) Why are the fertility rates in the given graphic so much higher than the birth rate?
Click the icon to view a graph of the trends in the fertility rate between 1950 and 2013.1
a) What is the birth rate, or ratio of births to population? (Compute the ratio of births to population and scale the second quantity to 1000.)
:1000 (Round to two decimal places as needed.)
b) Which of the following are plausible explanations for why the birth rate is lower in 2010 than in 2009 given that the population grew? Select all that apply.
A. People have fewer babies when the economy is bad. B. More women are working and delaying having children until after age 35. C. Families are having fewer children due to the increasing costs of raising a child. D. There was an increase in immigration into the country. E. People are living longer, so there are fewer young people having babies.
c) Why are the fertility rates in the given graphic so much higher than the birth rate?
A. The fertility rates are per 1000 women of child bearing age, not per 1000 people. B. Some women who are fertile and of child bearing age choose not to have babies. C. The graph does not single out teen pregnancies.
1945 1955 1965 1975 1985 1995 2005 2015 0
30
60
90
120
150
R at
io p
er 1
00 0
Trends in the Fertility Rate (births per 1000 women ages 15-44)
106.2
118.3 118.0
85.2
87.9
65.0 65.4
71.0
63.6
69.3
62.5
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2: Table of motor vehicle deaths
The data in the given table shows the number of motor vehicle deaths (MVD) in a certain country as different rates. Use this information to complete parts a and b.
Click the icon to view the table of motor vehicle deaths.2
a) Compute the fatality rate per 100,000 population in .2013
(Type an integer or a decimal rounded to two decimal places.)
b) Compute the fatality rate per 100 million vehicle miles traveled in .2010
(Type an integer or a decimal rounded to two decimal places.)
Year Killed Resident Population (Thousands) Licensed Drivers
(Thousands)
Registered Motor Vehicles
(Thousands)
Vehicle Miles Traveled (Billions)
2006 42,077 288,644 194,602 255,685 2848 2010 31,472 289,268 210,115 254,312 2865 2013 31,458 308,471 211,875 257,512 2992
Food labels in the U.S. give the number of calories which are units of energy and can be converted to joules (J). Technically these calories are "food calories" and the conversion is 1 food calorie 4184 joules. A food calorie is also called a kilocalorie (kcal) and equals 1000 thermal calories. So a calorie of heat in a science lab equals 4.184 joules. Many people mistakenly think watts (W) are a unit of energy, when in fact they are units of power. Power is a rate of energy use per unit time, and a watt equals 1 joule per second (J/s). A 100 watt bulb uses 100 joules of energy every second. Electric bills measure energy usage in units of kilowatt-hours (kwh), which is 1000 watts of energy use for 1 hour, or 1000 J/s for 3600 seconds, which is 3,600,000 joules. Use this information to complete parts a through d.
=
a) Convert kwh into food calories.9
kwh food calories 9 = (Type an integer or a decimal rounded to one decimal place.)
b) You leave a 100 watt bulb on for hours. How many food calories of energy are used?8
food calories (Type an integer or a decimal rounded to one decimal place.)
c) A calorie protein bar costs $ . How many food calories per dollar is this?230 3.59
food calories per dollar (Type an integer or a decimal rounded to one decimal place.)
d) A calorie protein bar costs $ and a kwh of energy from the local electric company costs cents. How many food calories per dollar is the energy?
230 3.59 17
food calories per dollar (Type an integer or a decimal rounded to one decimal place.)
Which is cheaper in terms of food calories per dollar? Choose the correct answer below.
kwh
protein bar
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Suppose that in 2008, citizens died of a certain disease. Assuming the population of the country is million, what was the mortality rate in units of deaths per 100,000 people?
693,550 233
The mortality rate is deaths per 100,000 people. (Simplify your answer. Round to the nearest integer as needed.)
If your car gets miles per gallon, how much does it cost to drive miles when gasoline costs $ per gallon?28 420 3.10
The cost is $ . (Simplify your answer. Round to the nearest cent as needed.)
Decide which of the two given prices is the better deal and explain why.
You can buy shampoo in a -ounce bottle for $ or in a -ounce bottle for $ .5 4.79 15 9.49
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The -ounce bottle is the better deal because the cost per ounce is $ per ounce while the -ounce bottle is $ per ounce.
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B. The -ounce bottle is the better deal because the cost per ounce is $ per ounce while the -ounce bottle is $ per ounce.
15 5
(Round to the nearest cent as needed.)
The Greenland ice sheet contains about 3 million cubic kilometers of ice. If completely melted, this ice would release about million cubic kilometers of water, which would spread out over Earth's approximate million square kilometers of
ocean surface. How much would the sea level rise? 1.9 339
The sea level would rise km. (Round to three decimal places as needed.)
A cube of wood measures centimeters on a side and weighs grams. Complete parts (a) and (b) below.9 15
a. What is the density of the cube of wood? b. Will it float in water?
a. The density of the cube of wood is .g / cm3
(Round to two decimal places as needed.)
b. Will the cube of wood float in water?
A. The cube will sink since its density is less than 1 .g / cm3
B. The cube will since its density is than 1 .sink greater g / cm3
C. The cube will float since its density is greater than 1 .g / cm3
D. The cube will since its density is than 1 .float less g / cm3
Give the density in appropriate units.
The land area of a country is about million square miles, and the population is about million people. What is the average population density?
5.0 600
The average population density is people/ .mi2
(Simplify your answer. Round to one decimal place as needed.)
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Assume that when you take a bath, you fill a tub to the halfway point. The tub measures feet by feet by feet. When you take a shower, you use a shower head with a flow rate of gallons per minute, and you typically spend minutes in the shower. There are 7.5 gallons in one cubic foot. Complete parts (a) through (c) below.
5 3 2.5 1.51 10
a. Do you use more water taking a shower or taking a bath? Select the correct choice below and fill in the answer box to complete your choice.
(Round to one decimal place as needed.)
A. Shower; you use more cubic feet of water than taking a bath.
B. Bath; you use more cubic feet of water than you do taking a shower.
b. How long would you need to shower in order to use as much water as you use taking a bath?
You would need to shower for minutes to use as much water as you use taking a bath. (Round to the nearest whole number.)
c. Assuming your shower is in a bath tub, propose a non-mathematical way to compare, in one experiment, the amounts of water you use taking a shower and a bath. Choose the correct answer below.
A. Only take showers for one month, and then check the water bill at the end of the month. B. Put the plug in the drain when taking a shower. C. Don't drain the water after taking a bath, and then turn on the shower head to see how much
of a change there is.
D. Use a stopwatch to time how long it takes to fill a five-gallon bucket with the shower head.
A lake in a certain country has a volume of approximately cubic kilometers, and its surface area is square kilometers. Complete parts (a) through (c) below.
2226 67,043
a. What is the average depth of the lake (the depth of a box with the volume and surface area of the lake)?
km (Round to three decimal places as needed.)
b. In the past six years, the water level of the lake has dropped feet from the depth computed in part (a). Approximately how much water has the lake lost?
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Therefore, the lake lost km of water.3
(Round to the nearest whole number as needed.)
c. What percentage of the volume has been lost?
The percentage of volume that has been lost is %. (Round to the nearest whole number as needed.)
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A % solution ( mg per mL of solution) is given intravenously. Suppose a total of L of the solution is given over a -hour period. Complete parts (a) through (c) below.
39 dextrous 39 100 3.99 15
a. What is the flow rate in units of mL/hr?
mL/hr (Type an integer or decimal rounded to the nearest thousandth as needed.)
What is the flow rate in per hour?dextrous
mg/hr (Type an integer or decimal rounded to the nearest thousandth as needed.)
b. If each mL contains drops (the drop factor is expressed as gtt/mL), what is the flow rate in units of gtt/hr?11 11
gtt/hr (Type an integer or decimal rounded to the nearest thousandth as needed.)
c. During the -hour period, how much is delivered?15 dextrous
mg (Type an integer or decimal rounded to the nearest thousandth as needed.)
Use the table to express the fatality rate in deaths per 100 million vehicle-miles traveled.1982
Year Population(millions) Traffic
fatalities Licensed drivers
(millions) Vehicle miles
(trillions)
1982 240 41,530 163 1.3 1997 288 40,688 188 2.2 2003 293 41,428 198 3.9
The fatality rate is deaths per 100 million vehicle-miles.1982 (Round to the nearest tenth as needed.)
An issue of a magazine contained the following statement.
Dropping less than two inches per mile after emerging from the mountains, a river drains into the ocean. One day's discharge at its mouth, trillion gallons, could supply all of country A's households for months.3.6 three
Based on this statement, determine how much water an average household uses each month. Assume that there are 00 million households in country A.
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Country A uses approximately gallons per household per month. (Type a whole number.)
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