The graph shows the number of gallons G of gasoline in a person's car after t days. G 20 Number of gallons NA ON 5 5 5 186 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 Days (a) On what days is the graph not continuous? (Enter your answers as a comma-separated list.) X t (b) What do you think happens on these days? O On these days, the person fills his or her gas tank. On these days, the person consumes gas at a constant rate. On these days, the person drives at a constant speed. On these days, the person returns home at the end of the day. On these days, the person does not drive.

Calculus: Early Transcendentals
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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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The graph illustrates the number of gallons \( G \) of gasoline in a person's car over several days, denoted as \( t \).

### Graph Analysis
- The x-axis represents the number of days, ranging from 0 to 30.
- The y-axis denotes the number of gallons, ranging from 2 to 20.
- The graph contains three distinct line segments (indicating gas usage) that are interrupted by points where the graph resets to a higher value, suggesting a refuel. These non-continuous points are observed around day 5 and day 17.

### Questions

**(a)** On what days is the graph not continuous?

The graph is not continuous on days **5, 17, 26**.

**(b)** What do you think happens on these days?

- On these days, the person fills his or her gas tank. (This is the correct answer as indicated by the check mark).

The graph demonstrates ordinary gas consumption over time interrupted periodically by refueling, resulting in the noted discontinuities.
Transcribed Image Text:The graph illustrates the number of gallons \( G \) of gasoline in a person's car over several days, denoted as \( t \). ### Graph Analysis - The x-axis represents the number of days, ranging from 0 to 30. - The y-axis denotes the number of gallons, ranging from 2 to 20. - The graph contains three distinct line segments (indicating gas usage) that are interrupted by points where the graph resets to a higher value, suggesting a refuel. These non-continuous points are observed around day 5 and day 17. ### Questions **(a)** On what days is the graph not continuous? The graph is not continuous on days **5, 17, 26**. **(b)** What do you think happens on these days? - On these days, the person fills his or her gas tank. (This is the correct answer as indicated by the check mark). The graph demonstrates ordinary gas consumption over time interrupted periodically by refueling, resulting in the noted discontinuities.
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