Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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**Question**

The graph below shows the change in the amount of gasoline in a car's gas tank as the distance the car travels changes.

**Graph Analysis**

The graph presents the relationship between the distance traveled (in miles) on the x-axis and the amount of gas in the tank (in gallons) on the y-axis.

- The x-axis (Distance traveled) is labeled with values starting at 0 and incremented by 20 up to 120 miles.
- The y-axis (Amount of gas in tank) is labeled with values starting at 4 gallons and incremented by 4 up to 28 gallons.
- The graph shows a straight line descending from the initial gas amount to the final gas amount as distance increases, indicating a constant rate of gas consumption over distance traveled.

**Question on Gas Consumption**

Which of the following statements is the most accurate?

1. ⭕ There were 18 gallons of gasoline in the gas tank at the beginning of the drive, and 1 gallon of gasoline was used for every 20 miles the car was driven.

2. ⭕ There were 20 gallons of gasoline in the gas tank at the beginning of the drive, and 1 gallon of gasoline was used for every 40 miles the car was driven.

3. ⭕ There were 18 gallons of gasoline in the gas tank at the beginning of the drive, and 2 gallons of gasoline were used for every 20 miles the car was driven.

4. ⭕ There were 20 gallons of gasoline in the gas tank at the beginning of the drive, and 1 gallon of gasoline was used for every 20 miles the car was driven.

**Graph Interpretation and Analysis:**
- At the start (0 miles), the line on the graph intersects at approximately 20 gallons of gasoline.
- At 40 miles traveled, the line shows about 18 gallons of gasoline remaining.
- At around 60 miles traveled, the line indicates approximately 16 gallons of gas left.
- By 120 miles, the line shows around 10 gallons of gas remaining.

To conclude, analyzing the gas consumption rate and initial gas amount leads to selecting the most accurate statement.

**Answering the Question:**
From the analysis above:
- The car starts with 20 gallons of gasoline.
- For every 20 miles traveled, approximately 1 gallon of gasoline is used.

Therefore, the statement that is most accurate is:

**⭕ There were 20 gallons of gasoline in the gas
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Transcribed Image Text:**Question** The graph below shows the change in the amount of gasoline in a car's gas tank as the distance the car travels changes. **Graph Analysis** The graph presents the relationship between the distance traveled (in miles) on the x-axis and the amount of gas in the tank (in gallons) on the y-axis. - The x-axis (Distance traveled) is labeled with values starting at 0 and incremented by 20 up to 120 miles. - The y-axis (Amount of gas in tank) is labeled with values starting at 4 gallons and incremented by 4 up to 28 gallons. - The graph shows a straight line descending from the initial gas amount to the final gas amount as distance increases, indicating a constant rate of gas consumption over distance traveled. **Question on Gas Consumption** Which of the following statements is the most accurate? 1. ⭕ There were 18 gallons of gasoline in the gas tank at the beginning of the drive, and 1 gallon of gasoline was used for every 20 miles the car was driven. 2. ⭕ There were 20 gallons of gasoline in the gas tank at the beginning of the drive, and 1 gallon of gasoline was used for every 40 miles the car was driven. 3. ⭕ There were 18 gallons of gasoline in the gas tank at the beginning of the drive, and 2 gallons of gasoline were used for every 20 miles the car was driven. 4. ⭕ There were 20 gallons of gasoline in the gas tank at the beginning of the drive, and 1 gallon of gasoline was used for every 20 miles the car was driven. **Graph Interpretation and Analysis:** - At the start (0 miles), the line on the graph intersects at approximately 20 gallons of gasoline. - At 40 miles traveled, the line shows about 18 gallons of gasoline remaining. - At around 60 miles traveled, the line indicates approximately 16 gallons of gas left. - By 120 miles, the line shows around 10 gallons of gas remaining. To conclude, analyzing the gas consumption rate and initial gas amount leads to selecting the most accurate statement. **Answering the Question:** From the analysis above: - The car starts with 20 gallons of gasoline. - For every 20 miles traveled, approximately 1 gallon of gasoline is used. Therefore, the statement that is most accurate is: **⭕ There were 20 gallons of gasoline in the gas
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