Think of a situation in the real world where a relationship occurs between two sets. For example, I could list several different people and then list their birthdays. I could then form a relationship between these sets. First, illustrate the relationship using arrows. Then determine if the relationship is a function or not. State why?

See Explanation

Step-by-step explanation:

Required

Determine if a real life situation is a function or not

I will give 2 instances

(1) Students and their ID

The relationship is as follows:

Student 1 > ID-1

Student 2 > ID-2

Student 3 > ID-3

Student 4 > ID-4

--

Student n > ID-n

The above is a function because every student has a unique student ID.

In fact, the relation is a one-on-one function because no two students will have the same ID

(2) People and their year of birth

The relationship is as follows:

Person 1 > 2000

Person 2 > 2001

Person 3 > 2002

Person 4 > 2001

Person n > 2005

The above is not a function because there is a possibility that a more than one person will have the same year of birth.

(d)

step-by-step explanation:

given: the line in the graph passes through points (5,30) and (6,26).

then, the equation of line is:

now, put y=a(n) and x=n,

hence, option d is correct.