Representation of phenomena - Examples, Exercises and Solutions

A linear function describes the relationship between X X and Y Y .
Therefore, we can represent all sorts of different phenomena in life with the help of the linear function.
The representation of phenomena with the help of linear functions is expressed in mathematics in word problems, using graphs of the functions.
Thus, we can find the various relationships between the functions.

Representing phenomena using linear functions actually allows us to simplify many word questions using a simple linear graph. From the graph, we can very easily calculate the slope, which is actually the rate of change and even many other parameters.

Suggested Topics to Practice in Advance

  1. Function
  2. Linear Function
  3. The Linear Function y=mx+b
  4. Positive and Negativity of a Linear Function
  5. Slope in the Function y=mx
  6. Finding a Linear Equation
  7. Graphical Representation of a Function that Represents Direct Proportionality

Practice Representation of phenomena

Exercise #1

The graph below represents the price of apples depending on the quantity.

What is the price of 7 kg of apples?

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

Video Solution

Answer

8

Exercise #2

The graph below depicts the price of apples depending on the quantity.

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

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

Video Solution

Answer

8

Exercise #3

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

Video Solution

Answer

In the red shop

Exercise #4

A car leaves Madrid for Barcelona. During the journey, the driver has a break.

For how many hours did the driver rest?

Hora000111222333444555666777888999101010111111121212131313141414151515161616171717181818191919202020km000101010202020303030404040505050606060707070808080909090100100100110110110120120120130130130140140140

Video Solution

Answer

6