Graph Analysis: Fuel Level vs. Time Function in a Moving Vehicle

Function Graphs with Decreasing Linear Patterns

Choose the graph that best describes the following:

Amount of fuel in a car (Y) while driving as a function of time (X).

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Choose the graph that best describes the following:

Amount of fuel in a car (Y) while driving as a function of time (X).

2

Step-by-step solution

Given that the vehicle uses fuel for engine operation, the fuel decreases over time.

The more the vehicle travels, the more the amount of fuel decreases.

The graph that correctly describes this is B.

3

Final Answer

WeatherAmount of fuel000

Key Points to Remember

Essential concepts to master this topic
  • Real-world relationship: Fuel consumption creates decreasing linear function
  • Graph analysis: Negative slope shows fuel decreases over time
  • Verification: Check that y-axis starts high and drops continuously ✓

Common Mistakes

Avoid these frequent errors
  • Choosing increasing graphs for fuel consumption
    Don't select graphs that show fuel increasing over time = physically impossible! Cars consume fuel while driving, they don't create it. Always choose graphs with negative slope showing fuel decreasing as time passes.

Practice Quiz

Test your knowledge with interactive questions

Is the function in the graph decreasing? yx

FAQ

Everything you need to know about this question

How do I know which direction the line should go?

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Think about the real situation! As a car drives (time increases), it burns fuel, so the fuel amount decreases. This means the line goes from upper left to lower right.

Why isn't the fuel usage curved instead of straight?

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For basic problems, we assume constant fuel consumption rate. In reality, fuel usage can vary, but a straight line is a good approximation for steady driving conditions.

What if the car stops for gas?

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This question asks about fuel usage while driving, so we don't consider refueling stops. The graph shows continuous driving with steady fuel consumption.

How can I remember which graph pattern to pick?

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Use this memory trick: "As time goes up, fuel goes down". Look for the graph where the line slopes downward from left to right.

What does the slope of the line represent?

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The slope represents fuel consumption rate - how quickly the car uses fuel. A steeper downward slope means faster fuel consumption.

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