Graph Interpretation: Finding Apple Prices for 7 Kilograms Using Linear Function

Linear Graph Reading with Coordinate Identification

The graph below depicts the price of apples relative to the quantity.

What is the price of 7 kg of apples?

–3–3–3–2–2–2–1–1–1111222333444555666777888999101010111111121212131313141414151515161616171717181818191919202020111222333444555666777888999101010111111121212kg of applesPrice

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Let's find the price for seven kilograms of apples.
00:08 The X-axis shows the weight in kilograms. Let's locate seven.
00:12 Now, draw a line straight up to the Y-axis, which shows the price.
00:19 And that's how we solve the question, great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

The graph below depicts the price of apples relative to the quantity.

What is the price of 7 kg of apples?

–3–3–3–2–2–2–1–1–1111222333444555666777888999101010111111121212131313141414151515161616171717181818191919202020111222333444555666777888999101010111111121212kg of applesPrice

2

Step-by-step solution

Let's first observe the X-axis which is representative of the weight. Locate 7 kg - and mark a point.

From this point, we'll draw a vertical line until we meet the straight line.

Let's now observe the Y-axis which is representative of the price.

We will draw a line from the point where we reached the X-axis to the straight line, towards the Y-axis and determine the price: 8 dollars.

3

Final Answer

8

Key Points to Remember

Essential concepts to master this topic
  • Graph Reading: Find x-value on horizontal axis, trace up to line
  • Technique: At x = 7 kg, trace vertically to meet line at y = 8
  • Check: Verify point (7, 8) lies on the linear relationship ✓

Common Mistakes

Avoid these frequent errors
  • Reading axes incorrectly or confusing x and y coordinates
    Don't read the y-value first or mix up which axis represents quantity vs price = wrong coordinate pairs! This leads to reading (8, 7) instead of (7, 8). Always start with the x-value (horizontal axis) then trace up to find the corresponding y-value (vertical axis).

Practice Quiz

Test your knowledge with interactive questions

Look at the function shown in the figure.

When is the function positive?

xy-4-7

FAQ

Everything you need to know about this question

How do I know which axis represents kilograms and which represents price?

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Look at the axis labels! The horizontal (x-axis) shows 'kilograms of apples', and the vertical (y-axis) shows 'price'. Always check labels first.

What if the point I need isn't exactly on a grid line?

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That's okay! Estimate the value by looking at where your vertical line intersects the graph line, then read across to the y-axis. The line should help you find the exact value.

Why do I need to draw lines instead of just looking?

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Drawing lines helps ensure accuracy! It's easy to misread coordinates when you just estimate visually. The vertical and horizontal guide lines guarantee you're reading the correct values.

How can I check if I read the graph correctly?

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Look for a pattern in the linear relationship. If the line goes up steadily, larger x-values should give larger y-values. Also, check if nearby points make sense with your answer.

What does the straight line tell me about apple pricing?

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A straight line means there's a constant rate - the price per kilogram stays the same. This is called a linear relationship between quantity and total price.

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