Graph Analysis: Finding Apple Quantity at $9 from Price-Quantity Chart

Graph Reading with Linear Relationships

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

How many kg of apples can you buy for $9?

–3–3–3–2–2–2–1–1–1111222333444555666777888999101010111111121212131313141414151515161616171717181818191919202020111222333444555666777888999101010111111121212kg de manzanasPrecio

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Let's find out how many kilograms of apples you can buy for 9 NIS.
00:09 Look at the Y-axis. It shows the price. First, we find the number 9.
00:15 Now, draw a straight line down from this point to the X-axis.
00:20 The X-axis tells us how many kilograms you get per price.
00:25 And that's your answer! This is how many kilograms you can buy.

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.

How many kg of apples can you buy for $9?

–3–3–3–2–2–2–1–1–1111222333444555666777888999101010111111121212131313141414151515161616171717181818191919202020111222333444555666777888999101010111111121212kg de manzanasPrecio

2

Step-by-step solution

Let's first observe the Y-axis which is representative of the price. Locate 9 dollars - and mark a point.

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

Now let's observe the X-axis which is representative of the quantity in kg.

We'll draw a line from the point where we reached the Y-axis to the straight line, towards the X-axis and determine the weight: 8 kg.

3

Final Answer

8

Key Points to Remember

Essential concepts to master this topic
  • Graph Reading: Find price on y-axis, draw horizontal line to graph
  • Technique: From intersection point, draw vertical line down to x-axis
  • Check: Verify point (8, 9) lies on the line equation ✓

Common Mistakes

Avoid these frequent errors
  • Reading axes incorrectly
    Don't confuse x and y axes or read the wrong scale = completely wrong answer! Students often read the quantity as price or misread grid lines. Always identify which axis represents price (y-axis) and which represents quantity (x-axis) before starting.

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 is which?

+

Look for the labels! The y-axis (vertical) shows 'Precio' (Price) and the x-axis (horizontal) shows 'kg de manzanas' (kg of apples). Always read axis labels first.

What if the point doesn't land exactly on a grid line?

+

Estimate as closely as possible using the grid lines. In this case, $9 intersects the line at exactly x = 8 kg, making it easy to read.

Can I solve this algebraically instead?

+

Yes! You can find the line's equation first. Looking at the graph, it appears to pass through (0,0) and has a slope, so you could write y=mx y = mx and solve for x when y = 9.

Why do I draw lines instead of just estimating?

+

Drawing horizontal and vertical lines ensures accuracy! It's easy to misread coordinates when you just look at the graph. The lines help you read the exact values from both axes.

What does this graph tell me about apple prices?

+

This is a linear relationship showing that as you buy more apples, the total price increases proportionally. The line shows the total cost for different quantities of apples.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Linear Functions questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations