Linear Price Functions: Finding the Best Deal for 7kg of Tomatoes

The graph below depicts the price of tomatoes as a function of quantity, with each line representing the prices at different shops.

Where is it cheaper to buy 7 kg of tomatoes?

–3–3–3–2–2–2–1–1–1111222333444555666777888999101010111111121212131313141414151515161616171717181818191919–1–1–1111222333444555666777888999101010111111kg de tomatesPrecio

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Where is it better to buy 7 kg of tomatoes?
00:03 The X-axis represents the weight of tomatoes, let's find 7
00:06 We'll draw a perpendicular line from this point to the Y-axis
00:10 The Y-axis represents the price per kg of tomatoes
00:13 In the red store, 7 kg costs 8 NIS
00:16 We'll use the same method to find the price in the blue store
00:20 In the blue store, 7 kg costs 10 NIS
00:23 Therefore, it's better to buy from the red store, it's cheaper
00:26 And this is the solution to the question

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 tomatoes as a function of quantity, with each line representing the prices at different shops.

Where is it cheaper to buy 7 kg of tomatoes?

–3–3–3–2–2–2–1–1–1111222333444555666777888999101010111111121212131313141414151515161616171717181818191919–1–1–1111222333444555666777888999101010111111kg de tomatesPrecio

2

Step-by-step solution

Let's look at the red line:

The X-axis shows us the quantity, we'll locate 7 kg and from it draw a vertical line to the line - mark a point.

From this point we'll draw a horizontal line to the Y-axis which shows the price and we'll see that 7 kg costs 8 NIS.

Let's look at the blue line:

The X-axis shows us the quantity, we'll locate 7 kg and from it draw a vertical line to the line - mark a point.

From this point we'll draw a horizontal line to the Y-axis which shows the price and we'll see that 7 kg costs 10 NIS.

Therefore it's better to buy at the red store, it's cheaper.

3

Final Answer

In the red shop

Practice Quiz

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Look at the function shown in the figure.

When is the function positive?

xy-4-7

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