Homework Help is Here – Start Your Trial Now!
Math
Algebra
Content Standards: The learner demonstrates understanding of key concepts of functions. Performance Standards: The learner is able to accurately construct mathematical models to represent real-life situations using functions. Output 1 (WW1): Problem Set (Represent a Real-World Situation with a Function) Instruction: Identify two certain real-life situation using (1*) any type of function; and (2nd) piece-wise function that YOU usually use or notice in your home or daily living. Describe and construct a mathem atical model about it. Samples are provided below. Solution Example 1: Linear Function Mark's daily expenses Mark started selling snacks in the nearby school. In a day he spends P150 Let 2 = the number of snack item Mark prepares 2 = Mark's daily expenses The daily rental is P150 with an additional of P20 per snack item he prepares The total expenses = rental + snack item × number of snacks. The function is for rent and P20 for each snack item he prepares. 7 =20x+150 Example 2: Piecewise Function user's monthly mobile plan A user is charged 300 monthly for a particular mobile plan, which includes 100 free text messages. Messages in excess of 100 are charged P1 each. Represent the monthly cost for text messaging using the function E (1), where m is the number of messages Solution Let m = the number of messages sent in a month t(m) = User's monthly cost The monthly fee is P300 if the user sent maxim um of 100 messages in a month and an addition of P1 each if it excesses 100 messages. The cost of text messaging can be expressed by the piecewise function t(m) = {200 300, if 0 < m< 100 + (m – 100),if m > 100 sent in a month.

Content Standards: The learner demonstrates understanding of key concepts of functions. Performance Standards: The learner is able to accurately construct mathematical models to represent real-life situations using functions. Output 1 (WW1): Problem Set (Represent a Real-World Situation with a Function) Instruction: Identify two certain real-life situation using (1*) any type of function; and (2nd) piece-wise function that YOU usually use or notice in your home or daily living. Describe and construct a mathem atical model about it. Samples are provided below. Solution Example 1: Linear Function Mark's daily expenses Mark started selling snacks in the nearby school. In a day he spends P150 Let 2 = the number of snack item Mark prepares 2 = Mark's daily expenses The daily rental is P150 with an additional of P20 per snack item he prepares The total expenses = rental + snack item × number of snacks. The function is for rent and P20 for each snack item he prepares. 7 =20x+150 Example 2: Piecewise Function user's monthly mobile plan A user is charged 300 monthly for a particular mobile plan, which includes 100 free text messages. Messages in excess of 100 are charged P1 each. Represent the monthly cost for text messaging using the function E (1), where m is the number of messages Solution Let m = the number of messages sent in a month t(m) = User's monthly cost The monthly fee is P300 if the user sent maxim um of 100 messages in a month and an addition of P1 each if it excesses 100 messages. The cost of text messaging can be expressed by the piecewise function t(m) = {200 300, if 0 < m< 100 + (m – 100),if m > 100 sent in a month.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
See similar textbooks
icon
Related questions
Question
Content Standards: The learner demonstrates understanding of key concepts of functions. Performance Standards: The learner is able to accurately construct mathematical models to represent real-life situations using functions. Output 1 (WW1): Problem Set (Represent a Real-World Situation with a Function) Instruction: Identify two certain real-life situation using (1s*) any type of function; and (2nd) piece-wise function that YOU usually use or notice in your home or daily living. Describe and construct a mathematical model about it. Samples are provided below. Example 1: Linear Function Mark's daily expenses Mark started selling snacks in the nearby school. In a day he spends P150 Solution Let 2 = the num ber of snack item Mark prepares 2 = Mark's daily expenses The daily rental is P150 with an additional of P20 per snack item he prepares The total expenses = rental + snack item x number of snacks. The function is E =20x+150 for rent and P20 for each snack item he prepares. Example 2: Piecewise Function user's monthly mobile plan A user is charged 300 monthly for a particular mobile plan, which includes 100 free text messages. Messages in excess of 100 are charged P1 each. Represent the monthly cost for text messaging using the function (1), where m is the number of messages Solution Let m = the number of messages sent in a month t(m) = User's monthly cost The monthly fee is P300 if the user sent maxim um of 100 messages in a month and an addition ofP1 each if it excesses 100 messages. The cost of text messaging can be expressed by the piecewise function 300 + (m – 100),if m > 100 sent in a month.
Transcribed Image Text:Content Standards: The learner demonstrates understanding of key concepts of functions. Performance Standards: The learner is able to accurately construct mathematical models to represent real-life situations using functions. Output 1 (WW1): Problem Set (Represent a Real-World Situation with a Function) Instruction: Identify two certain real-life situation using (1s*) any type of function; and (2nd) piece-wise function that YOU usually use or notice in your home or daily living. Describe and construct a mathematical model about it. Samples are provided below. Example 1: Linear Function Mark's daily expenses Mark started selling snacks in the nearby school. In a day he spends P150 Solution Let 2 = the num ber of snack item Mark prepares 2 = Mark's daily expenses The daily rental is P150 with an additional of P20 per snack item he prepares The total expenses = rental + snack item x number of snacks. The function is E =20x+150 for rent and P20 for each snack item he prepares. Example 2: Piecewise Function user's monthly mobile plan A user is charged 300 monthly for a particular mobile plan, which includes 100 free text messages. Messages in excess of 100 are charged P1 each. Represent the monthly cost for text messaging using the function (1), where m is the number of messages Solution Let m = the number of messages sent in a month t(m) = User's monthly cost The monthly fee is P300 if the user sent maxim um of 100 messages in a month and an addition ofP1 each if it excesses 100 messages. The cost of text messaging can be expressed by the piecewise function 300 + (m – 100),if m > 100 sent in a month.
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education
SEE MORE TEXTBOOKS