Concept explainers
(a)
Write a direct variation equation relating the number of seats to time. Write the meaning of the constant variation in this situation.
(a)
Answer to Problem 44PPS
The equation is
This means that Todd warms about 27 seats every minute.
Explanation of Solution
Given:
Before their first game, high school student Todd McCormick warmed all 5200 seats in a new minor league stadium. He started at 11.50 AM and finished around 3 PM
Concept Used:
y is the number of seats and x is the time
Direct variation equation is
Calculation:
Time duration: 3 PM − 11.50 AM = 3.10 hours.
Convert the time into minutes
Find the constant of variation: y = 5200 and x = 190
So, the equation is
Thus, the equation is
(b)
Find the number of seats has Todd sat in by 1.00 PM.
(b)
Answer to Problem 44PPS
Todd warmed about 1915 seats.
Explanation of Solution
Given:
Before their first game, high school student Todd McCormick warmed all 5200 seats in a new minor league stadium. He started at 11.50 AM and finished around 3 PM
Concept Used:
The equation:
The time difference from 11.50AM to 1 PM = 1 hour 10 minutes = 70 minutes.
Calculation:
The time difference from 11.50AM to 1 PM = 1 hour 10 minutes = 70 minutes.
Find the value of y when x = 70
So, Todd warmed about 1915 seats.
Thus, Todd warmed about 1915 seats.
(c)
Find the time would you expect it to take Todd to sit in all of the seats at a major league stadium with more than 40,000 seats.
(c)
Answer to Problem 44PPS
It would take Todd about 1461 minutes or 24 hours and 21 minutes.
Explanation of Solution
Given:
Before their first game, high school student Todd McCormick warmed all 5200 seats in a new minor league stadium. He started at 11.50 AM and finished around 3 PM
Concept Used:
The equation:
Calculation:
Using the direct variation equation
It would take Todd about 1461 minutes or 24 hours and 21 minutes.
Thus, it would take Todd about 1461 minutes or 24 hours and 21 minutes.
Chapter 3 Solutions
Algebra 1
Additional Math Textbook Solutions
College Algebra (7th Edition)
Elementary Algebra
Linear Algebra and Its Applications (5th Edition)
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education