Questions to ponder: 1. How are you going to represent the problem through a function? 2. What is/are the given in the problem? What are you going to solve? 3. How can you describe the relationship between the rate r and the time t in the problem? Which do you think is the variable that depends on the value of another variable? 4. What can you say about the graph? Can the values in t increase infinitely? 5. What do you think would be the value of r when t is equal to zero?

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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Questions to ponder:
1. How are you going to represent the problem through a function?
2. What is/are the given in the problem? What are you going to solve?
3. How can you describe the relationship between the rate r and the time t in
the problem? Which do you think is the variable that depends on the value of
another variable?
4. What can you say about the graph? Can the values in t increase infinitely?
5. What do you think would be the value of r when t is equal to zero?
Transcribed Image Text:Questions to ponder: 1. How are you going to represent the problem through a function? 2. What is/are the given in the problem? What are you going to solve? 3. How can you describe the relationship between the rate r and the time t in the problem? Which do you think is the variable that depends on the value of another variable? 4. What can you say about the graph? Can the values in t increase infinitely? 5. What do you think would be the value of r when t is equal to zero?
What's New
Now imagine that you are ninety-six kilometers (96 km.) away from Manila. You are
planning to visit your grandmother who will be celebrating her birthday. Your father
has allowed you to drive his car so that you will arrive at the party on time. Assuming
there will be no traffic during that day, you have resolved to arrive at the party from
1 to 2 hours. So, at what speed are you going to travel to arrive in a certain period of
time?
For your Activity 1, construct a table of values that would represent the given
problem. Subsequently, plot the values obtained on a Cartesian plane. You may use
paper and pencil or any applicable graphing apps such as MS Excel, GeoGebra, or
Desmos. You may use the table below as your reference.
Table 1
t in hours
1
1.25
1.5
1.75
r (rate in
km/hr)
Transcribed Image Text:What's New Now imagine that you are ninety-six kilometers (96 km.) away from Manila. You are planning to visit your grandmother who will be celebrating her birthday. Your father has allowed you to drive his car so that you will arrive at the party on time. Assuming there will be no traffic during that day, you have resolved to arrive at the party from 1 to 2 hours. So, at what speed are you going to travel to arrive in a certain period of time? For your Activity 1, construct a table of values that would represent the given problem. Subsequently, plot the values obtained on a Cartesian plane. You may use paper and pencil or any applicable graphing apps such as MS Excel, GeoGebra, or Desmos. You may use the table below as your reference. Table 1 t in hours 1 1.25 1.5 1.75 r (rate in km/hr)
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