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Mastering Linear Graphs: A Practical Guide for Understanding and Applying Linear Graphs

Linear graphs are a powerful tool for representing and analyzing real-world scenarios. In this article, we'll explore practical examples of linear graphs and how they can be used to solve everyday problems. From plumber charges to courier delivery costs, linear graphs offer a visual representation of various scenarios, making it easier to understand and interpret data.

Real-life Examples of Linear Graphs

⭐️Representing the depth of water in a paddling pool as it's being emptied.

⭐️Linear graph representing courier delivery costs based on distance traveled.

⭐️Plumber's charges for different jobs, including a call-out fee and charge per hour.

Understanding Linear Graphs in Practice

🔍Dara charges 120 pounds for a 2-hour job.

🔍A job costing 180 pounds lasted for 5 hours.

🔍Dara's callout fee is not mentioned in the video.

FAQ

How can the gradient of a line be calculated?

The gradient of a line can be calculated using the rise over run formula.

What does the y-intercept represent in a linear graph?

The y-intercept represents the callout fee and the gradient represents the hourly rate.

What is the significance of a negative gradient in a linear graph?

The graph has a negative gradient of -5, representing the decrease in depth of the pool every second.

How does the delivery cost change based on distance traveled?

The cost per mile is £0.40, and the delivery cost increases by £0.40 for every mile.

How does Freddie deliver items as a courier?

Freddie delivers each item individually.

Summary with Timestamps

0:13This video discusses linear graphs in real-life situations, such as plumber charges, water depth in a pool, and courier delivery costs.
💰 2:09The video discusses Dara's pricing for different job durations and how to calculate the cost and duration using a graph.
📈 4:06The video discusses how to calculate the gradient of a line using the rise over run formula.
📉 6:18The graph has a negative gradient of -5, indicating a decrease of 5 centimeters in depth every second.

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