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Bicycles are becoming a transport option under the new normal. Two bikers started at the same apartment, one going east, the other going north to go to their workplace. One biker was traveling at 3 kph faster than the other. After one hour, the two bikers were 15 km apart. Find the rate of each. w 15 km Apartment

Bicycles are becoming a transport option under the new normal. Two bikers started at the same apartment, one going east, the other going north to go to their workplace. One biker was traveling at 3 kph faster than the other. After one hour, the two bikers were 15 km apart. Find the rate of each. w 15 km Apartment

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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B. Solve the problem below. Make use of your guide questions following the steps in solving real-life problems involving quadratic equations and rational algebraic equations. Use the table format below. Bicycles are becoming a transport option under the new normal. Two bikers started at the same apartment, one going east, the other going north to go to their workplace. One biker was traveling at 3 kph faster than the other. After one hour, the two bikers were 15 km apart. Find the rate of each. 15 km Apartment Steps in solving real-life problems Guide Questions/Solution 1 Read and understand the problem Devise a Plan 3 Carry out the plan 4 Look back
Transcribed Image Text:B. Solve the problem below. Make use of your guide questions following the steps in solving real-life problems involving quadratic equations and rational algebraic equations. Use the table format below. Bicycles are becoming a transport option under the new normal. Two bikers started at the same apartment, one going east, the other going north to go to their workplace. One biker was traveling at 3 kph faster than the other. After one hour, the two bikers were 15 km apart. Find the rate of each. 15 km Apartment Steps in solving real-life problems Guide Questions/Solution 1 Read and understand the problem Devise a Plan 3 Carry out the plan 4 Look back
What I Know Let us check if you have knowledge in solving word problems involving quadratic equations and rational algebraic equations. Try the activity below. Activity 1: Find those missing! A. Solve the following problems using the guided questions provided. 1. Two numbers differ by 9. The sum of their squares is 653. What are the numbers? a. What expressions represent the first number? How about the expressions that represent the second number? b. Formulate an equation to relate the two numbers. Explain how you arrived at the mathematical sentence. c. Using the equation, how will you determine the first and second numbers? d. What is the first number? The second number? e. How can we sure that the two numbers are correct? Justify. 2. Mang Simo is putting up a new rectangular lawn with an area of 100 m2. A 50- meter fence is used to enclose the lawn. What are the dimensions of the lawn? Area = 100 m2 a. Draw a diagram to identify the missing dimensions. b. How will you represent the length and the width of the lawn, knowing that a 50-m fence is used to enclose the lawn? c. Formulate an equation relating the length and the width of the lawn. Explain how you arrived at the mathematical sentence. d. Using the equation, how will you find the length and width of the lawn? What are the dimensions of the lawn? e.
Transcribed Image Text:What I Know Let us check if you have knowledge in solving word problems involving quadratic equations and rational algebraic equations. Try the activity below. Activity 1: Find those missing! A. Solve the following problems using the guided questions provided. 1. Two numbers differ by 9. The sum of their squares is 653. What are the numbers? a. What expressions represent the first number? How about the expressions that represent the second number? b. Formulate an equation to relate the two numbers. Explain how you arrived at the mathematical sentence. c. Using the equation, how will you determine the first and second numbers? d. What is the first number? The second number? e. How can we sure that the two numbers are correct? Justify. 2. Mang Simo is putting up a new rectangular lawn with an area of 100 m2. A 50- meter fence is used to enclose the lawn. What are the dimensions of the lawn? Area = 100 m2 a. Draw a diagram to identify the missing dimensions. b. How will you represent the length and the width of the lawn, knowing that a 50-m fence is used to enclose the lawn? c. Formulate an equation relating the length and the width of the lawn. Explain how you arrived at the mathematical sentence. d. Using the equation, how will you find the length and width of the lawn? What are the dimensions of the lawn? e.
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