35 30 25 20 2 15 10 How You Will Spend Your Average Life Expectancy of 78 Years 5 Sleeping Working Watching llin TV Doing Housework Eating Socializing Shopping Cource: U.S. Bureau of Labor Statistics According to the U.S. Bureau of Labor Statistics, you will devote 37 years to sleeping and watching TV. The number of years sleeping will exceed the number of years watching TV by 19. Over your lifetime, how many years will you spend on each of these activities? The bar graph shows median yearly earnings of full-time workers in the United States for people 25 years and over for three occupations and two levels of education. Exercises 3-4 are based on the data displayed by the graph. Median Earnings Median Earnings of Full-Time U.S. Workers 25 Years and Over by Occupation and Level of Education High School Diploma Bachelor's Degree or Higher $100,000 $80,000- $60,000 $40,000 $20,000- 36,000 41,800 Administrative General Assistants Managers Retail Salespersons Sources: U.S. Census Bureau; Education Pays 2019

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter4: Graphing And Inverse Functions
Section: Chapter Questions
Problem 1GP
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/books/9780136970736/pdf2htmlex/index.html#page_136
35
30
ARRAY
25
20
15
10
5
How You Will Spend Your Average
Life Expectancy of 78 Years
Sleeping
Working
Watching
TV
Doing
Housework
Pr
Eating
Socializing
Shopping
Source: U.S. Bureau of Labor Statistics
According to the U.S. Bureau of Labor Statistics, you will
devote 37 years to sleeping and watching TV. The number of
years sleeping will exceed the number of years watching TV
by 19. Over your lifetime, how many years will you spend on
each of these activities?
(Exercises 3-4 are based on the graph at the bottom-right of the
previous page.)
3. The median yearly salary of a general manager with a
bachelor's degree or higher is $31,000 less than twice that of
a general manager with just a high school diploma. Combined,
two managers with each of these educational attainments
earn $149,300. Find the median yearly salary of general
managers with each of these levels of education.
The bar graph shows median yearly earnings of full-time workers
in the United States for people 25 years and over for three
occupations and two levels of education. Exercises 3-4 are based
on the data displayed by the graph.
4. The median yearly salary of a retail salesperson with a
bachelor's degree or higher is $14,300 less than twice that of
a retail salesperson with just a high school diploma. Combined,
two salespeople with each of these educational attainments
earn $79,900. Find the median yearly salary of salespeople
with each of these levels of education.
P.
Despite booming new car sales with their cha-ching sounds, the
average age of vehicles on U.S. roads is not going down. The bar
graph shows the average price of new cars in the United States
and the average age of cars on U.S. roads for two selected years.
Exercises 5-6 are based on the information displayed by the graph.
A verace Price of New Cars and
136
Median Earnings
Median Earnings of Full-Time U.S. Workers
25 Years and Over by Occupation and Level of Education
High School Diploma
Bachelor's Degree or Higher
$100,000
$80,000
$60,000
$40,000
$20,000
36,000
41,800
Sources: U.S. Census Bureau; Education Pays 2019
Retail Administrative General
Salespersons Assistants Managers
Section 1.3 Models and Applications
8. A new car worth $45,000 is depreciating in value by $5000
per year.
y,in dollars,
a. Write a formula that models the car's value,
after xyears.
b. Use the formula from part (a) to determine after how
many years the car's value will be $10,000.
(168 of 962)
c. Graph the formula from part (a) in the first quadrant of
a rectangular coordinate system. Then show your solution
to part (b) on the graph.
MacBook Pro
137
9. You are choosing between two gyms. One gym offers
membership for a fee of $40 plus a monthly fee of $25. The other
offers membership for a fee of $15 plus a monthly fee of $30.
After how many months will the total cost at each gym be the
same? What will be the total cost for each gym?
10. Taxi rates are determined by local authorities. In New York
City, the night-time cost of a taxi includes a base fee of $3 plus
a charge of $1.56 per kilometer. In Boston, regardless of the
time of day, the base fee is $2.60 with a charge of $1.75 per
kilometer. For how many kilometers will the cost of a
night-time taxi ride in each city be the same? Round to the
nearest kilometer. What will the cost be in each city for the
rounded number of kilometers?
Transcribed Image Text:/books/9780136970736/pdf2htmlex/index.html#page_136 35 30 ARRAY 25 20 15 10 5 How You Will Spend Your Average Life Expectancy of 78 Years Sleeping Working Watching TV Doing Housework Pr Eating Socializing Shopping Source: U.S. Bureau of Labor Statistics According to the U.S. Bureau of Labor Statistics, you will devote 37 years to sleeping and watching TV. The number of years sleeping will exceed the number of years watching TV by 19. Over your lifetime, how many years will you spend on each of these activities? (Exercises 3-4 are based on the graph at the bottom-right of the previous page.) 3. The median yearly salary of a general manager with a bachelor's degree or higher is $31,000 less than twice that of a general manager with just a high school diploma. Combined, two managers with each of these educational attainments earn $149,300. Find the median yearly salary of general managers with each of these levels of education. The bar graph shows median yearly earnings of full-time workers in the United States for people 25 years and over for three occupations and two levels of education. Exercises 3-4 are based on the data displayed by the graph. 4. The median yearly salary of a retail salesperson with a bachelor's degree or higher is $14,300 less than twice that of a retail salesperson with just a high school diploma. Combined, two salespeople with each of these educational attainments earn $79,900. Find the median yearly salary of salespeople with each of these levels of education. P. Despite booming new car sales with their cha-ching sounds, the average age of vehicles on U.S. roads is not going down. The bar graph shows the average price of new cars in the United States and the average age of cars on U.S. roads for two selected years. Exercises 5-6 are based on the information displayed by the graph. A verace Price of New Cars and 136 Median Earnings Median Earnings of Full-Time U.S. Workers 25 Years and Over by Occupation and Level of Education High School Diploma Bachelor's Degree or Higher $100,000 $80,000 $60,000 $40,000 $20,000 36,000 41,800 Sources: U.S. Census Bureau; Education Pays 2019 Retail Administrative General Salespersons Assistants Managers Section 1.3 Models and Applications 8. A new car worth $45,000 is depreciating in value by $5000 per year. y,in dollars, a. Write a formula that models the car's value, after xyears. b. Use the formula from part (a) to determine after how many years the car's value will be $10,000. (168 of 962) c. Graph the formula from part (a) in the first quadrant of a rectangular coordinate system. Then show your solution to part (b) on the graph. MacBook Pro 137 9. You are choosing between two gyms. One gym offers membership for a fee of $40 plus a monthly fee of $25. The other offers membership for a fee of $15 plus a monthly fee of $30. After how many months will the total cost at each gym be the same? What will be the total cost for each gym? 10. Taxi rates are determined by local authorities. In New York City, the night-time cost of a taxi includes a base fee of $3 plus a charge of $1.56 per kilometer. In Boston, regardless of the time of day, the base fee is $2.60 with a charge of $1.75 per kilometer. For how many kilometers will the cost of a night-time taxi ride in each city be the same? Round to the nearest kilometer. What will the cost be in each city for the rounded number of kilometers?
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