- This week, the new topic we started is related to the pattern and the relationship between their data, which is almost similar to the lessons we have studied in previous years.
In order to make it easier to explain
from examples such as
- the value of a computer is related to its age.
- the price of a watermelon is related to its weight.
- it can even be said that the number of students in a school is related to the size of that school.
- In mathematics, these two things are called relation.
In the following, there are things related to this topic and quantities, including:
- table of value
- set of the ordered pairs
- a mapping diagram
- an equation
- a graph
- in words
Also, by considering this example, it can help to introduce and get familiar with the topic of relation
took
the cost, C (cents per km), of driving a car is related to the speed, S (km/h), at which it is driven.
Here C and S are our variables, the price depends on the speed
C is called dependent variable and the S is called independent variable
independent variable is the input and the dependent variable is the output value
We can use the above solutions to get c and s and find their relation and dependence
To get c and s, we can use the above solutions and find their relationship and dependence, which in the first step and using graph, we can show it in two ways, which are in the form of the following images.
Another way is ordered pairs, which is written like this:
(S,C)
- (20,10)
- (30,9.1)
- (40,8.4)
- (50,7.9)
- (60,7.6)
- (70,7.5)
- (80,7.6)
- (90,7.9)
- (100,8.4)
- etc…
- For ordered pairs, you can make a table and put the numbers in it by writing input and output above the numbers to show the table of value method.
- Equation: C=
-0.14s+12.4