
a.
To calculate: The mean hourly temperature change.
a.

Answer to Problem 57STP
The mean hourly temperature change is −5°F per hour .
Explanation of Solution
Given information:
In a time frame of 6 hour, the temperature dropped by 30°F .
Calculation:
It is provided that in a time frame of 6 hour, the temperature dropped by 30°F .
Since temperature is decreasing so −30°F is the notation of temperature.
So, hourly temperature change is temperature dropped after 6 hours divided by number of hours passed.
Therefore,
−30°F 6=−5°F per hour
Thus, the mean hourly temperature change is −5°F per hour .
b.
To calculate: The function that represent the situation that in a time frame of 6 hour, the temperature dropped by 30°F .
b.

Answer to Problem 57STP
The function representation is y=−5x .
Explanation of Solution
Given information:
In a time frame of 6 hour, the temperature dropped by 30°F .
Calculation:
It is provided that in a time frame of 6 hour, the temperature dropped by 30°F .
Since temperature is decreasing so −30°F is the notation of temperature.
So, hourly temperature change is temperature dropped after 6 hours divided by number of hours passed.
Therefore,
−30°F 6=−5°F per hour
Now denote the temperature in degree Fahrenheit by y and number of hours passed by x.
Since, the mean hourly temperature change is −5°F per hour .
Therefore, the function is modelled as y=−5x .
b.
To calculate: The change in temperature after 1, 3 and 5 hours and represent as a function table.
b.

Answer to Problem 57STP
The change in temperature after 1, 3 and 5 hours is depicted below,
x(number of hours)y(temperature)1−5°F3−15°F5−25°F
Explanation of Solution
Given information:
In a time frame of 6 hour, the temperature dropped by 30°F .
Calculation:
It is provided that in a time frame of 6 hour, the temperature dropped by 30°F .
Since temperature is decreasing so −30°F is the notation of temperature.
So, hourly temperature change is temperature dropped after 6 hours divided by number of hours passed.
Therefore,
−30°F 6=−5°F per hour
Now denote the temperature in degree Fahrenheit by y and number of hours passed by x.
Since, the mean hourly temperature change is −5°F per hour .
Therefore, the function is modelled as y=−5x .
Now, to compute the change in temperature after 1, 3 and 5 hours. Substitute x as 1, 3 and 5 and compute the corresponding value of y. The tabular representation is provided below,
x(number of hours)y(temperature)1−5°F3−15°F5−25°F
After 1 hour, temperature dropped by 5°F .
After 3 hours, temperature dropped by 15°F .
After 5 hour, temperature dropped by 25°F .
Chapter 2 Solutions
Pre-Algebra, Student Edition
Additional Math Textbook Solutions
Elementary Statistics: Picturing the World (7th Edition)
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Intro Stats, Books a la Carte Edition (5th Edition)
Basic Business Statistics, Student Value Edition
College Algebra with Modeling & Visualization (5th Edition)
Calculus: Early Transcendentals (2nd Edition)
- For each graph below, state whether it represents a function. Graph 1 24y Graph 2 Graph 3 4 2 -8 -6 -4 -2 -2 2 4 6 Function? ○ Yes ○ No ○ Yes ○ No Graph 4 Graph 5 8 Function? Yes No Yes No -2. ○ Yes ○ No Graph 6 4 + 2 4 -8 -6 -4 -2 2 4 6 8 Yes -4++ Noarrow_forwardPractice k Help ises A 96 Anewer The probability that you get a sum of at least 10 is Determine the number of ways that the specified event can occur when two number cubes are rolled. 1. Getting a sum of 9 or 10 3. Getting a sum less than 5 2. Getting a sum of 6 or 7 4. Getting a sum that is odd Tell whether you would use the addition principle or the multiplication principle to determine the total number of possible outcomes for the situation described. 5. Rolling three number cubes 6. Getting a sum of 10 or 12 after rolling three number cubes A set of playing cards contains four groups of cards designated by color (black, red, yellow, and green) with cards numbered from 1 to 14 in each group. Determine the number of ways that the specified event can occur when a card is drawn from the set. 7. Drawing a 13 or 14 9. Drawing a number less than 4 8. Drawing a yellow or green card 10. Drawing a black, red, or green car The spinner is divided into equal parts. Find the specified…arrow_forwardAnswer the questionsarrow_forward
- Solve the problems on the imagearrow_forwardAsked this question and got a wrong answer previously: Third, show that v3 = (−√3, −3, 3)⊤ is an eigenvector of M3 . Also here find the correspondingeigenvalue λ3 . Just from looking at M3 and its components, can you say something about the remaining twoeigenvalues? If so, what would you say?arrow_forwardDetermine whether the inverse of f(x)=x^4+2 is a function. Then, find the inverse.arrow_forward
- The 173 acellus.com StudentFunctions inter ooks 24-25/08 R Mastery Connect ac ?ClassiD-952638111# Introduction - Surface Area of Composite Figures 3 cm 3 cm 8 cm 8 cm Find the surface area of the composite figure. 2 SA = [?] cm² 7 cm REMEMBER! Exclude areas where complex shapes touch. 7 cm 12 cm 10 cm might ©2003-2025 International Academy of Science. All Rights Reserved. Enterarrow_forwardYou are given a plane Π in R3 defined by two vectors, p1 and p2, and a subspace W in R3 spanned by twovectors, w1 and w2. Your task is to project the plane Π onto the subspace W.First, answer the question of what the projection matrix is that projects onto the subspace W and how toapply it to find the desired projection. Second, approach the task in a different way by using the Gram-Schmidtmethod to find an orthonormal basis for subspace W, before then using the resulting basis vectors for theprojection. Last, compare the results obtained from both methodsarrow_forwardPlane II is spanned by the vectors: - (2) · P² - (4) P1=2 P21 3 Subspace W is spanned by the vectors: 2 W1 - (9) · 1 W2 1 = (³)arrow_forward
- 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





