has a horizontal axis labeled Time (hours) from 0 to 10 in increments of 1 and a vertical axis labeled Distance from Home (miles) from 0 to 1000 in increments of 100. A line that falls from left to right passes through the points (0, 500) and (5, 0).       a. Select the correct answer below.     A. According to the​ function, the distance from home increases by 500 miles every 5 hours.   B. According to the​ function, the distance from home decreases by 500 miles every 5

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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Consider the graph to the right.
a. In​ words, describe the function shown on the graph.
b.Find the slope of the graph and express it as a rate of change.
c. Briefly discuss the conditions under which a linear function is a realistic model for the given situation.
 
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024681002004006008001000Time (hours)Distance from Home (miles)
 
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A graph has a horizontal axis labeled Time (hours) from 0 to 10 in increments of 1 and a vertical axis labeled Distance from Home (miles) from 0 to 1000 in increments of 100. A line that falls from left to right passes through the points (0, 500) and (5, 0).
 
 
 
a. Select the correct answer below.
 
 
A.
According to the​ function, the distance from home increases by
500
miles every
5
hours.
 
B.
According to the​ function, the distance from home decreases by
500
miles every
5
hours.
 
C.
According to the​ function, the distance from home decreases by
5
miles every
500
hours.
 
D.
According to the​ function, the distance from home increases by
5
miles every
500
hours.
 
b. Calculate the slope and represent it as a rate of change.
rate of
change=nothing
 
miles per hourmiles per hour
hours per milehours per mile
​(Round to the tenths place as​ needed.)
c. Select the correct answer below.
 
 
A.
It is a good model if speed is not constant for
5
hours.
 
B.
It is a good model if speed is constant for
5
hours.
 
C.
It is a good model if speed is constant for two hours and afterwards is changing.
 
D.
It is a good model if speed is changing for two​ hours, then afterwards is constant.
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